TY  - CONF
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2024
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3457
AB  - The purpose of this paper is to address the critical issue of the shortage of mathematics teachers and professors in Serbia. The old teaching staff is drying up, and there is a lack of new teaching potential. The demoralization of current math teachers is an ongoing concern and as a result, hardly any student want to become math teacher. Soon we will only be able to realize that no one wants to teach mathematics anymore. We will focus on the causes and consequences of the perceived problem.
C3  - International Multidisciplinary Conference "Challenges of Contemporary Higher Education" - CCHE 2024
T1  - Challenges in teaching mathematics in Serbia
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3457
ER  - 

@conference{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2024",
abstract = "The purpose of this paper is to address the critical issue of the shortage of mathematics teachers and professors in Serbia. The old teaching staff is drying up, and there is a lack of new teaching potential. The demoralization of current math teachers is an ongoing concern and as a result, hardly any student want to become math teacher. Soon we will only be able to realize that no one wants to teach mathematics anymore. We will focus on the causes and consequences of the perceived problem.",
journal = "International Multidisciplinary Conference "Challenges of Contemporary Higher Education" - CCHE 2024",
title = "Challenges in teaching mathematics in Serbia",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3457"
}

Pucanović, Z.,& Pešović, M.. (2024). Challenges in teaching mathematics in Serbia. in International Multidisciplinary Conference "Challenges of Contemporary Higher Education" - CCHE 2024.
https://hdl.handle.net/21.15107/rcub_grafar_3457

Pucanović Z, Pešović M. Challenges in teaching mathematics in Serbia. in International Multidisciplinary Conference "Challenges of Contemporary Higher Education" - CCHE 2024. 2024;.
https://hdl.handle.net/21.15107/rcub_grafar_3457 .

Pucanović, Zoran, Pešović, Marko, "Challenges in teaching mathematics in Serbia" in International Multidisciplinary Conference "Challenges of Contemporary Higher Education" - CCHE 2024 (2024),
https://hdl.handle.net/21.15107/rcub_grafar_3457 .

TY  - JOUR
AU  - Pešović, Marko
AU  - Pucanović, Zoran
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3456
AB  - In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible.
PB  - Journal of Mathematical Inequalities
T2  - Journal of Mathematical Inequalities
T1  - A note on r-circulant matrices involving generalized Narayana numbers
VL  - 17
DO  - 10.7153/jmi-2023-17-84
ER  - 

@article{
author = "Pešović, Marko and Pucanović, Zoran",
year = "2023",
abstract = "In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible.",
publisher = "Journal of Mathematical Inequalities",
journal = "Journal of Mathematical Inequalities",
title = "A note on r-circulant matrices involving generalized Narayana numbers",
volume = "17",
doi = "10.7153/jmi-2023-17-84"
}

Pešović, M.,& Pucanović, Z.. (2023). A note on r-circulant matrices involving generalized Narayana numbers. in Journal of Mathematical Inequalities
Journal of Mathematical Inequalities., 17.
https://doi.org/10.7153/jmi-2023-17-84

Pešović M, Pucanović Z. A note on r-circulant matrices involving generalized Narayana numbers. in Journal of Mathematical Inequalities. 2023;17.
doi:10.7153/jmi-2023-17-84 .

Pešović, Marko, Pucanović, Zoran, "A note on r-circulant matrices involving generalized Narayana numbers" in Journal of Mathematical Inequalities, 17 (2023),
https://doi.org/10.7153/jmi-2023-17-84 . .

TY  - CONF
AU  - Pešović, Marko
AU  - Pucanović, Zoran
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3317
AB  - We will present estimates for spectral norm bounds of the geometric circulant matrices whose entries are the Chebyshev polynomials of the first and the second kind. Some of the obtained results were verified by applying them to some known results on matrices involving various integer sequences, such as Fibonacci, Lucas, Pell and Jacobsthal integer sequences.
C3  - XIII Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade, 1-2 December, 2023
T1  - With the Chebyshev polynomials through geometric circulant matrices
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3317
ER  - 

@conference{
author = "Pešović, Marko and Pucanović, Zoran",
year = "2023",
abstract = "We will present estimates for spectral norm bounds of the geometric circulant matrices whose entries are the Chebyshev polynomials of the first and the second kind. Some of the obtained results were verified by applying them to some known results on matrices involving various integer sequences, such as Fibonacci, Lucas, Pell and Jacobsthal integer sequences.",
journal = "XIII Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade, 1-2 December, 2023",
title = "With the Chebyshev polynomials through geometric circulant matrices",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3317"
}

Pešović, M.,& Pucanović, Z.. (2023). With the Chebyshev polynomials through geometric circulant matrices. in XIII Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade, 1-2 December, 2023.
https://hdl.handle.net/21.15107/rcub_grafar_3317

Pešović M, Pucanović Z. With the Chebyshev polynomials through geometric circulant matrices. in XIII Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade, 1-2 December, 2023. 2023;.
https://hdl.handle.net/21.15107/rcub_grafar_3317 .

Pešović, Marko, Pucanović, Zoran, "With the Chebyshev polynomials through geometric circulant matrices" in XIII Symposium MATHEMATICS AND APPLICATION, Faculty of Mathematics, University of Belgrade, 1-2 December, 2023 (2023),
https://hdl.handle.net/21.15107/rcub_grafar_3317 .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3115
AB  - In this talk, we establish a connection between some classical topics in applied mathematics - circulant matrices and the Chebyshev polynomials. First, we define circulant matrices whose entries are the Chebyshev polynomials of the first or second kind and examine their basic properties. Then we determine the bounds of the norms of such matrices. It turns out that the obtained results can be seen as the unification and generalization of many previously obtained results on circulant matrices involving the generalized Horadam numbers. We point out one direction of applications, but it is clear that there are many possibilities. With appropriate modifications, these results can be applied in different areas, such as - statistics, data approximation, interpolation, engineering, economics, signal and image processing, numerical analysis, physics and error correcting code theory, to name but a few.
C3  - 2rd International Conference on Stochastic Dynamics and Statistical Application
T1  - A note on matrices involving the Chebyshev polynomials
UR  - https://hdl.handle.net/21.15107/rcub_grafar_3115
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2023",
abstract = "In this talk, we establish a connection between some classical topics in applied mathematics - circulant matrices and the Chebyshev polynomials. First, we define circulant matrices whose entries are the Chebyshev polynomials of the first or second kind and examine their basic properties. Then we determine the bounds of the norms of such matrices. It turns out that the obtained results can be seen as the unification and generalization of many previously obtained results on circulant matrices involving the generalized Horadam numbers. We point out one direction of applications, but it is clear that there are many possibilities. With appropriate modifications, these results can be applied in different areas, such as - statistics, data approximation, interpolation, engineering, economics, signal and image processing, numerical analysis, physics and error correcting code theory, to name but a few.",
journal = "2rd International Conference on Stochastic Dynamics and Statistical Application",
title = "A note on matrices involving the Chebyshev polynomials",
url = "https://hdl.handle.net/21.15107/rcub_grafar_3115"
}

Pucanović, Z.. (2023). A note on matrices involving the Chebyshev polynomials. in 2rd International Conference on Stochastic Dynamics and Statistical Application.
https://hdl.handle.net/21.15107/rcub_grafar_3115

Pucanović Z. A note on matrices involving the Chebyshev polynomials. in 2rd International Conference on Stochastic Dynamics and Statistical Application. 2023;.
https://hdl.handle.net/21.15107/rcub_grafar_3115 .

Pucanović, Zoran, "A note on matrices involving the Chebyshev polynomials" in 2rd International Conference on Stochastic Dynamics and Statistical Application (2023),
https://hdl.handle.net/21.15107/rcub_grafar_3115 .

TY  - JOUR
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2703
AB  - This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are considered. Then, estimates for spectral norm bounds of such
matrices are presented. The relevance of the obtained results was verified by applying them to
some of the previous results on r-circulant matrices involving various integer sequences. The
acquired results justify the usefulness of the applied approach
PB  - Applied Mathematics and Computation
T2  - Applied Mathematics and Computation
T1  - Chebyshev polynomials and r-circulant matrices
DO  - 10.1016/j.amc.2022.127521
ER  - 

@article{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2022",
abstract = "This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are considered. Then, estimates for spectral norm bounds of such
matrices are presented. The relevance of the obtained results was verified by applying them to
some of the previous results on r-circulant matrices involving various integer sequences. The
acquired results justify the usefulness of the applied approach",
publisher = "Applied Mathematics and Computation",
journal = "Applied Mathematics and Computation",
title = "Chebyshev polynomials and r-circulant matrices",
doi = "10.1016/j.amc.2022.127521"
}

Pucanović, Z.,& Pešović, M.. (2022). Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation
Applied Mathematics and Computation..
https://doi.org/10.1016/j.amc.2022.127521

Pucanović Z, Pešović M. Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation. 2022;.
doi:10.1016/j.amc.2022.127521 .

Pucanović, Zoran, Pešović, Marko, "Chebyshev polynomials and r-circulant matrices" in Applied Mathematics and Computation (2022),
https://doi.org/10.1016/j.amc.2022.127521 . .

TY  - CONF
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2821
AB  - We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials
of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones.
C3  - Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu
T1  - A note on some Chebyshev related integer sequences
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2821
ER  - 

@conference{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2022",
abstract = "We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials
of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones.",
journal = "Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu",
title = "A note on some Chebyshev related integer sequences",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2821"
}

Pucanović, Z.,& Pešović, M.. (2022). A note on some Chebyshev related integer sequences. in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu.
https://hdl.handle.net/21.15107/rcub_grafar_2821

Pucanović Z, Pešović M. A note on some Chebyshev related integer sequences. in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu. 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_2821 .

Pucanović, Zoran, Pešović, Marko, "A note on some Chebyshev related integer sequences" in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu (2022),
https://hdl.handle.net/21.15107/rcub_grafar_2821 .

TY  - CONF
AU  - Pešović, Marko
AU  - Pucanović, Zoran
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2437
AB  - The importance of integer sequences as well as structured matrices and their applications, motivated us to explore this topic. In particular, the Narayana’s cows sequence, which is closely related to the Fibonacci sequence, has recently had various applications in applied mathematics. We will give one natural generalization and try to establish further connections between structured matrices and integer sequences of the Narayana type.
C3  - XI simpozijum "Matematika i primene"
T1  - A Note on the Generalized Narayana’s Cows Sequence
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2437
ER  - 

@conference{
author = "Pešović, Marko and Pucanović, Zoran",
year = "2021",
abstract = "The importance of integer sequences as well as structured matrices and their applications, motivated us to explore this topic. In particular, the Narayana’s cows sequence, which is closely related to the Fibonacci sequence, has recently had various applications in applied mathematics. We will give one natural generalization and try to establish further connections between structured matrices and integer sequences of the Narayana type.",
journal = "XI simpozijum "Matematika i primene"",
title = "A Note on the Generalized Narayana’s Cows Sequence",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2437"
}

Pešović, M.,& Pucanović, Z.. (2021). A Note on the Generalized Narayana’s Cows Sequence. in XI simpozijum "Matematika i primene".
https://hdl.handle.net/21.15107/rcub_grafar_2437

Pešović M, Pucanović Z. A Note on the Generalized Narayana’s Cows Sequence. in XI simpozijum "Matematika i primene". 2021;.
https://hdl.handle.net/21.15107/rcub_grafar_2437 .

Pešović, Marko, Pucanović, Zoran, "A Note on the Generalized Narayana’s Cows Sequence" in XI simpozijum "Matematika i primene" (2021),
https://hdl.handle.net/21.15107/rcub_grafar_2437 .

TY  - JOUR
AU  - Kostić, Aleksandra
AU  - Petrović, Zoran
AU  - Pucanović, Zoran
AU  - Roslavcev, Maja
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2416
AB  - Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.
PB  - World Scientific Publishing Company
T2  - Algebra Colloquium
T1  - On the Generalized Strongly Nil - Clean Property of the Matrix Rings
EP  - 634
IS  - 4
SP  - 625
VL  - 28
DO  - 10.1142/S1005386721000481
ER  - 

@article{
author = "Kostić, Aleksandra and Petrović, Zoran and Pucanović, Zoran and Roslavcev, Maja",
year = "2021",
abstract = "Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a nilpotent matrix N.",
publisher = "World Scientific Publishing Company",
journal = "Algebra Colloquium",
title = "On the Generalized Strongly Nil - Clean Property of the Matrix Rings",
pages = "634-625",
number = "4",
volume = "28",
doi = "10.1142/S1005386721000481"
}

Kostić, A., Petrović, Z., Pucanović, Z.,& Roslavcev, M.. (2021). On the Generalized Strongly Nil - Clean Property of the Matrix Rings. in Algebra Colloquium
World Scientific Publishing Company., 28(4), 625-634.
https://doi.org/10.1142/S1005386721000481

Kostić A, Petrović Z, Pucanović Z, Roslavcev M. On the Generalized Strongly Nil - Clean Property of the Matrix Rings. in Algebra Colloquium. 2021;28(4):625-634.
doi:10.1142/S1005386721000481 .

Kostić, Aleksandra, Petrović, Zoran, Pucanović, Zoran, Roslavcev, Maja, "On the Generalized Strongly Nil - Clean Property of the Matrix Rings" in Algebra Colloquium, 28, no. 4 (2021):625-634,
https://doi.org/10.1142/S1005386721000481 . .

TY  - GEN
AU  - Pucanović, Zoran
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2417
AB  - Udžbenik iz Matematike 1
PB  - Akademska Misao, Beograd. Univerzitet u Beogradu - Građevinski fakultet
T1  - Matematika 1 za studente Građevinskog fakulteta
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2417
ER  - 

@misc{
author = "Pucanović, Zoran",
year = "2021",
abstract = "Udžbenik iz Matematike 1",
publisher = "Akademska Misao, Beograd. Univerzitet u Beogradu - Građevinski fakultet",
title = "Matematika 1 za studente Građevinskog fakulteta",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2417"
}

Pucanović, Z.. (2021). Matematika 1 za studente Građevinskog fakulteta. 
Akademska Misao, Beograd. Univerzitet u Beogradu - Građevinski fakultet..
https://hdl.handle.net/21.15107/rcub_grafar_2417

Pucanović Z. Matematika 1 za studente Građevinskog fakulteta. 2021;.
https://hdl.handle.net/21.15107/rcub_grafar_2417 .

Pucanović, Zoran, "Matematika 1 za studente Građevinskog fakulteta" (2021),
https://hdl.handle.net/21.15107/rcub_grafar_2417 .

TY  - GEN
AU  - Pucanović, Zoran
AU  - Pešović, Marko
AU  - Knežević, Mateja
AU  - Lazarević, Ivan
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1771
AB  - Zbirka zadataka pisana po važećem programu kursa Matematička analiza 1.
T2  - Akademska misao
T1  - Matematička analiza 1. Zbirka rešenih zadataka
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1771
ER  - 

@misc{
author = "Pucanović, Zoran and Pešović, Marko and Knežević, Mateja and Lazarević, Ivan",
year = "2019",
abstract = "Zbirka zadataka pisana po važećem programu kursa Matematička analiza 1.",
journal = "Akademska misao",
title = "Matematička analiza 1. Zbirka rešenih zadataka",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1771"
}

Pucanović, Z., Pešović, M., Knežević, M.,& Lazarević, I.. (2019). Matematička analiza 1. Zbirka rešenih zadataka. in Akademska misao.
https://hdl.handle.net/21.15107/rcub_grafar_1771

Pucanović Z, Pešović M, Knežević M, Lazarević I. Matematička analiza 1. Zbirka rešenih zadataka. in Akademska misao. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_1771 .

Pucanović, Zoran, Pešović, Marko, Knežević, Mateja, Lazarević, Ivan, "Matematička analiza 1. Zbirka rešenih zadataka" in Akademska misao (2019),
https://hdl.handle.net/21.15107/rcub_grafar_1771 .

TY  - CONF
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1739
AB  - In 1909 Milutin Milanković accepted the invitation of the Faculty of Philosophy of
the University of Belgrade and became a professor at the Department for Applied Mathematics.
"The Applied Mathematics Chair is my great desire. There I could find all the conditions to
develop my abilities and repay my people. I always appreciated mathematics as a wonderful
tool for solving the problems we face when studying nature and space", he explained his
decision. Unfortunately, very little is known about the teaching work of one of the greatest
scientists of all time. In this paper we will try to look at his lectures, based on the preserved
notes of one of his students, B. Pujić.
PB  - Belgrade : University of Belgrade, Faculty of Architecture
C3  - http://www.arh.bg.ac.rs/en/2019/02/12/international-conference-life-and-work-of-milutin-milankovic-past-present-future/
C3  - Proceedings [Elektronski izvor] / International Conference The Life and Work of Milutin Milankovic: Past, Present, Future, 19-21 July 2019, Belgrade
T1  - Mathematical lectures of Milutin Milanković
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1739
ER  - 

@conference{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2019",
abstract = "In 1909 Milutin Milanković accepted the invitation of the Faculty of Philosophy of
the University of Belgrade and became a professor at the Department for Applied Mathematics.
"The Applied Mathematics Chair is my great desire. There I could find all the conditions to
develop my abilities and repay my people. I always appreciated mathematics as a wonderful
tool for solving the problems we face when studying nature and space", he explained his
decision. Unfortunately, very little is known about the teaching work of one of the greatest
scientists of all time. In this paper we will try to look at his lectures, based on the preserved
notes of one of his students, B. Pujić.",
publisher = "Belgrade : University of Belgrade, Faculty of Architecture",
journal = "http://www.arh.bg.ac.rs/en/2019/02/12/international-conference-life-and-work-of-milutin-milankovic-past-present-future/, Proceedings [Elektronski izvor] / International Conference The Life and Work of Milutin Milankovic: Past, Present, Future, 19-21 July 2019, Belgrade",
title = "Mathematical lectures of Milutin Milanković",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1739"
}

Pucanović, Z.,& Pešović, M.. (2019). Mathematical lectures of Milutin Milanković. in http://www.arh.bg.ac.rs/en/2019/02/12/international-conference-life-and-work-of-milutin-milankovic-past-present-future/
Belgrade : University of Belgrade, Faculty of Architecture..
https://hdl.handle.net/21.15107/rcub_grafar_1739

Pucanović Z, Pešović M. Mathematical lectures of Milutin Milanković. in http://www.arh.bg.ac.rs/en/2019/02/12/international-conference-life-and-work-of-milutin-milankovic-past-present-future/. 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_1739 .

Pucanović, Zoran, Pešović, Marko, "Mathematical lectures of Milutin Milanković" in http://www.arh.bg.ac.rs/en/2019/02/12/international-conference-life-and-work-of-milutin-milankovic-past-present-future/ (2019),
https://hdl.handle.net/21.15107/rcub_grafar_1739 .

TY  - JOUR
AU  - Kostić, Aleksandra
AU  - Petrović, Zoran Z.
AU  - Pucanović, Zoran
AU  - Roslavcev, Maja
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/997
AB  - Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean rings. Also, using this technique many previous proofs can be significantly shortened. Some shorter proofs concerning nil clean elements in rings in general, and in matrix rings in particular, are presented, together with some generalizations of these results.
PB  - Springer New York LLC
T2  - Czechoslovak Mathematical Journal
T1  - Note on Strongly Nil Clean Elements in Rings
EP  - 92
IS  - 1
SP  - 87
VL  - 69
DO  - 10.21136/CMJ.2018.0167-17
ER  - 

@article{
author = "Kostić, Aleksandra and Petrović, Zoran Z. and Pucanović, Zoran and Roslavcev, Maja",
year = "2019",
abstract = "Let R be an associative unital ring and let a R be a strongly nil clean element. We introduce a new idea for examining the properties of these elements. This approach allows us to generalize some results on nil clean and strongly nil clean rings. Also, using this technique many previous proofs can be significantly shortened. Some shorter proofs concerning nil clean elements in rings in general, and in matrix rings in particular, are presented, together with some generalizations of these results.",
publisher = "Springer New York LLC",
journal = "Czechoslovak Mathematical Journal",
title = "Note on Strongly Nil Clean Elements in Rings",
pages = "92-87",
number = "1",
volume = "69",
doi = "10.21136/CMJ.2018.0167-17"
}

Kostić, A., Petrović, Z. Z., Pucanović, Z.,& Roslavcev, M.. (2019). Note on Strongly Nil Clean Elements in Rings. in Czechoslovak Mathematical Journal
Springer New York LLC., 69(1), 87-92.
https://doi.org/10.21136/CMJ.2018.0167-17

Kostić A, Petrović ZZ, Pucanović Z, Roslavcev M. Note on Strongly Nil Clean Elements in Rings. in Czechoslovak Mathematical Journal. 2019;69(1):87-92.
doi:10.21136/CMJ.2018.0167-17 .

Kostić, Aleksandra, Petrović, Zoran Z., Pucanović, Zoran, Roslavcev, Maja, "Note on Strongly Nil Clean Elements in Rings" in Czechoslovak Mathematical Journal, 69, no. 1 (2019):87-92,
https://doi.org/10.21136/CMJ.2018.0167-17 . .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1837
AB  - The description of right zero divisors in that ring is a very di cult problem that has not been resolved yet. We will prove the following characterization: An infinite upper triangular matrix over a field is a right zero divisor if and only if its generalized Jordan normal form contains a zero row.
C3  - X simpozijum "Matematika i primene"
T1  - A new characterization of Suškevič's problem on right zero divisors
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1837
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2019",
abstract = "The description of right zero divisors in that ring is a very di cult problem that has not been resolved yet. We will prove the following characterization: An infinite upper triangular matrix over a field is a right zero divisor if and only if its generalized Jordan normal form contains a zero row.",
journal = "X simpozijum "Matematika i primene"",
title = "A new characterization of Suškevič's problem on right zero divisors",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1837"
}

Pucanović, Z.. (2019). A new characterization of Suškevič's problem on right zero divisors. in X simpozijum "Matematika i primene".
https://hdl.handle.net/21.15107/rcub_grafar_1837

Pucanović Z. A new characterization of Suškevič's problem on right zero divisors. in X simpozijum "Matematika i primene". 2019;.
https://hdl.handle.net/21.15107/rcub_grafar_1837 .

Pucanović, Zoran, "A new characterization of Suškevič's problem on right zero divisors" in X simpozijum "Matematika i primene" (2019),
https://hdl.handle.net/21.15107/rcub_grafar_1837 .

TY  - JOUR
AU  - Petrović, Zoran
AU  - Pucanović, Zoran
AU  - Roslavcev, Maja
AU  - Kostić, Aleksandra
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1756
AB  - Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
PB  - Taylor & Francis Ltd, United Kingdom
T2  - Linear and Multilinear Algebra
T1  - On a generalized Jordan normal form of an infinite upper triangular matrix
VL  - Latest Articles
DO  - 10.1080/03081087.2019.1632783
ER  - 

@article{
author = "Petrović, Zoran and Pucanović, Zoran and Roslavcev, Maja and Kostić, Aleksandra",
year = "2019",
abstract = "Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.",
publisher = "Taylor & Francis Ltd, United Kingdom",
journal = "Linear and Multilinear Algebra",
title = "On a generalized Jordan normal form of an infinite upper triangular matrix",
volume = "Latest Articles",
doi = "10.1080/03081087.2019.1632783"
}

Petrović, Z., Pucanović, Z., Roslavcev, M.,& Kostić, A.. (2019). On a generalized Jordan normal form of an infinite upper triangular matrix. in Linear and Multilinear Algebra
Taylor & Francis Ltd, United Kingdom., Latest Articles.
https://doi.org/10.1080/03081087.2019.1632783

Petrović Z, Pucanović Z, Roslavcev M, Kostić A. On a generalized Jordan normal form of an infinite upper triangular matrix. in Linear and Multilinear Algebra. 2019;Latest Articles.
doi:10.1080/03081087.2019.1632783 .

Petrović, Zoran, Pucanović, Zoran, Roslavcev, Maja, Kostić, Aleksandra, "On a generalized Jordan normal form of an infinite upper triangular matrix" in Linear and Multilinear Algebra, Latest Articles (2019),
https://doi.org/10.1080/03081087.2019.1632783 . .

TY  - JOUR
AU  - Kostić, Aleksandra
AU  - Petrović, Zoran Z.
AU  - Pucanović, Zoran
AU  - Roslavcev, Maja
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/971
AB  - The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.
T2  - Miskolc Mathematical Notes
T1  - A generalization of nil-clean rings
EP  - 981
IS  - 2
SP  - 969
VL  - 19
DO  - 10.18514/MMN.2018.2585
ER  - 

@article{
author = "Kostić, Aleksandra and Petrović, Zoran Z. and Pucanović, Zoran and Roslavcev, Maja",
year = "2018",
abstract = "The conditions that allow an element of an associative, unital, not necessarily commutative ring R, to be represented as a sum of (commuting) idempotents and one nilpotent element are analyzed. Some applications to group rings are also presented.",
journal = "Miskolc Mathematical Notes",
title = "A generalization of nil-clean rings",
pages = "981-969",
number = "2",
volume = "19",
doi = "10.18514/MMN.2018.2585"
}

Kostić, A., Petrović, Z. Z., Pucanović, Z.,& Roslavcev, M.. (2018). A generalization of nil-clean rings. in Miskolc Mathematical Notes, 19(2), 969-981.
https://doi.org/10.18514/MMN.2018.2585

Kostić A, Petrović ZZ, Pucanović Z, Roslavcev M. A generalization of nil-clean rings. in Miskolc Mathematical Notes. 2018;19(2):969-981.
doi:10.18514/MMN.2018.2585 .

Kostić, Aleksandra, Petrović, Zoran Z., Pucanović, Zoran, Roslavcev, Maja, "A generalization of nil-clean rings" in Miskolc Mathematical Notes, 19, no. 2 (2018):969-981,
https://doi.org/10.18514/MMN.2018.2585 . .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2018
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1584
PB  - University of Kragujevac, Faculty of Science, Kragujevac
C3  - Book of abstracts / XIV Serbian Mathematical Congress (14SMAK 2018), May 16-19, 2018, Kragujevac, Serbia
T1  - Elements in a ring which can be represented as a sum of idempotents and one nilpotent element
EP  - 133
SP  - 133
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1584
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2018",
publisher = "University of Kragujevac, Faculty of Science, Kragujevac",
journal = "Book of abstracts / XIV Serbian Mathematical Congress (14SMAK 2018), May 16-19, 2018, Kragujevac, Serbia",
title = "Elements in a ring which can be represented as a sum of idempotents and one nilpotent element",
pages = "133-133",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1584"
}

Pucanović, Z.. (2018). Elements in a ring which can be represented as a sum of idempotents and one nilpotent element. in Book of abstracts / XIV Serbian Mathematical Congress (14SMAK 2018), May 16-19, 2018, Kragujevac, Serbia
University of Kragujevac, Faculty of Science, Kragujevac., 133-133.
https://hdl.handle.net/21.15107/rcub_grafar_1584

Pucanović Z. Elements in a ring which can be represented as a sum of idempotents and one nilpotent element. in Book of abstracts / XIV Serbian Mathematical Congress (14SMAK 2018), May 16-19, 2018, Kragujevac, Serbia. 2018;:133-133.
https://hdl.handle.net/21.15107/rcub_grafar_1584 .

Pucanović, Zoran, "Elements in a ring which can be represented as a sum of idempotents and one nilpotent element" in Book of abstracts / XIV Serbian Mathematical Congress (14SMAK 2018), May 16-19, 2018, Kragujevac, Serbia (2018):133-133,
https://hdl.handle.net/21.15107/rcub_grafar_1584 .

TY  - GEN
AU  - Pucanović, Zoran
AU  - Knežević, Mateja
AU  - Pešović, Marko
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1737
AB  - Zbirka zadataka pisana po važećem programu kursa Linearna algebra i statistika.
PB  - Akademska misao
T2  - Akademska misao
T1  - Linearna algebra. Analitička geometrija. Elementi verovatnoće i statistike
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1737
ER  - 

@misc{
author = "Pucanović, Zoran and Knežević, Mateja and Pešović, Marko",
year = "2017",
abstract = "Zbirka zadataka pisana po važećem programu kursa Linearna algebra i statistika.",
publisher = "Akademska misao",
journal = "Akademska misao",
title = "Linearna algebra. Analitička geometrija. Elementi verovatnoće i statistike",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1737"
}

Pucanović, Z., Knežević, M.,& Pešović, M.. (2017). Linearna algebra. Analitička geometrija. Elementi verovatnoće i statistike. in Akademska misao
Akademska misao..
https://hdl.handle.net/21.15107/rcub_grafar_1737

Pucanović Z, Knežević M, Pešović M. Linearna algebra. Analitička geometrija. Elementi verovatnoće i statistike. in Akademska misao. 2017;.
https://hdl.handle.net/21.15107/rcub_grafar_1737 .

Pucanović, Zoran, Knežević, Mateja, Pešović, Marko, "Linearna algebra. Analitička geometrija. Elementi verovatnoće i statistike" in Akademska misao (2017),
https://hdl.handle.net/21.15107/rcub_grafar_1737 .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1838
AB  - Analiziraju se uslovi pod kojima se matrica nad prstenom može razložiti na zbir idempotentnih i jedne nilpotentne matrice.
C3  - VIII simpozijum "Matematika i primene", 11-2017
T1  - s-nil-čisti prsteni matrica
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1838
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2017",
abstract = "Analiziraju se uslovi pod kojima se matrica nad prstenom može razložiti na zbir idempotentnih i jedne nilpotentne matrice.",
journal = "VIII simpozijum "Matematika i primene", 11-2017",
title = "s-nil-čisti prsteni matrica",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1838"
}

Pucanović, Z.. (2017). s-nil-čisti prsteni matrica. in VIII simpozijum "Matematika i primene", 11-2017.
https://hdl.handle.net/21.15107/rcub_grafar_1838

Pucanović Z. s-nil-čisti prsteni matrica. in VIII simpozijum "Matematika i primene", 11-2017. 2017;.
https://hdl.handle.net/21.15107/rcub_grafar_1838 .

Pucanović, Zoran, "s-nil-čisti prsteni matrica" in VIII simpozijum "Matematika i primene", 11-2017 (2017),
https://hdl.handle.net/21.15107/rcub_grafar_1838 .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2017
UR  - https://easychair.org/smart-program/ACTA2017/Home.html
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1835
AB  - A bidiagonal matrix has only two non-zero diagonals. The matrix is called upper bidiagonal if these are the main diagonal and the principal subdiagonal. In this paper we will describe when infinite upper bidiagonal matrices are right zero divisors.
T1  - Note on right zero divisors in the ring of infinite upper triangular matrices over a field
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1835
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2017",
abstract = "A bidiagonal matrix has only two non-zero diagonals. The matrix is called upper bidiagonal if these are the main diagonal and the principal subdiagonal. In this paper we will describe when infinite upper bidiagonal matrices are right zero divisors.",
title = "Note on right zero divisors in the ring of infinite upper triangular matrices over a field",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1835"
}

Pucanović, Z.. (2017). Note on right zero divisors in the ring of infinite upper triangular matrices over a field. .
https://hdl.handle.net/21.15107/rcub_grafar_1835

Pucanović Z. Note on right zero divisors in the ring of infinite upper triangular matrices over a field. 2017;.
https://hdl.handle.net/21.15107/rcub_grafar_1835 .

Pucanović, Zoran, "Note on right zero divisors in the ring of infinite upper triangular matrices over a field" (2017),
https://hdl.handle.net/21.15107/rcub_grafar_1835 .

TY  - CONF
AU  - Pucanović, Zoran
PY  - 2017
UR  - http://www.mi.sanu.ac.rs/novi_sajt/research/conferences.php
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1836
AB  - We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some commutative rings.
T1  - On the connection between the topological graph property and the theory of commutative rings
UR  - https://hdl.handle.net/21.15107/rcub_grafar_1836
ER  - 

@conference{
author = "Pucanović, Zoran",
year = "2017",
abstract = "We try to establish some connections between commutative ring theory and topological graph theory, by study of the genus of the intersection graph of ideals and classify all graphs of genus 1 and genus 2 that are intersection graphs of ideals of some commutative rings.",
title = "On the connection between the topological graph property and the theory of commutative rings",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1836"
}

Pucanović, Z.. (2017). On the connection between the topological graph property and the theory of commutative rings. .
https://hdl.handle.net/21.15107/rcub_grafar_1836

Pucanović Z. On the connection between the topological graph property and the theory of commutative rings. 2017;.
https://hdl.handle.net/21.15107/rcub_grafar_1836 .

Pucanović, Zoran, "On the connection between the topological graph property and the theory of commutative rings" (2017),
https://hdl.handle.net/21.15107/rcub_grafar_1836 .

TY  - JOUR
AU  - Petrović, Zoran Z.
AU  - Pucanović, Zoran
PY  - 2017
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/815
AB  - To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to additional results concerning other classes of rings.
PB  - Charles Babbage Research Centre
T2  - Ars Combinatoria
T1  - The clean graph of a commutative ring
EP  - 378
SP  - 363
VL  - 134
UR  - https://hdl.handle.net/21.15107/rcub_grafar_815
ER  - 

@article{
author = "Petrović, Zoran Z. and Pucanović, Zoran",
year = "2017",
abstract = "To gain a better understanding of clean rings and their relatives, the clean graph of a commutative ring with identity is introduced and its various properties established. Further investigation of clean graphs leads to additional results concerning other classes of rings.",
publisher = "Charles Babbage Research Centre",
journal = "Ars Combinatoria",
title = "The clean graph of a commutative ring",
pages = "378-363",
volume = "134",
url = "https://hdl.handle.net/21.15107/rcub_grafar_815"
}

Petrović, Z. Z.,& Pucanović, Z.. (2017). The clean graph of a commutative ring. in Ars Combinatoria
Charles Babbage Research Centre., 134, 363-378.
https://hdl.handle.net/21.15107/rcub_grafar_815

Petrović ZZ, Pucanović Z. The clean graph of a commutative ring. in Ars Combinatoria. 2017;134:363-378.
https://hdl.handle.net/21.15107/rcub_grafar_815 .

Petrović, Zoran Z., Pucanović, Zoran, "The clean graph of a commutative ring" in Ars Combinatoria, 134 (2017):363-378,
https://hdl.handle.net/21.15107/rcub_grafar_815 .

TY  - JOUR
AU  - Petrović, Zoran Z.
AU  - Pucanović, Zoran
PY  - 2016
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/771
AB  - Let R be a commutative ring with identity and T(Gamma(R)) its total graph. The subject of this article is the investigation of the properties of the corresponding line graph L(T(Gamma(R))). The classification of all commutative rings whose line graphs are planar or toroidal is given. It is shown that for every integer g >= 0 there are only finitely many commutative rings such that gamma(L(T(Gamma(R)))) = g.
T2  - Ars Combinatoria
T1  - The line graph associated to the total graph of a commutative ring
EP  - 195
SP  - 185
VL  - 127
UR  - https://hdl.handle.net/21.15107/rcub_grafar_771
ER  - 

@article{
author = "Petrović, Zoran Z. and Pucanović, Zoran",
year = "2016",
abstract = "Let R be a commutative ring with identity and T(Gamma(R)) its total graph. The subject of this article is the investigation of the properties of the corresponding line graph L(T(Gamma(R))). The classification of all commutative rings whose line graphs are planar or toroidal is given. It is shown that for every integer g >= 0 there are only finitely many commutative rings such that gamma(L(T(Gamma(R)))) = g.",
journal = "Ars Combinatoria",
title = "The line graph associated to the total graph of a commutative ring",
pages = "195-185",
volume = "127",
url = "https://hdl.handle.net/21.15107/rcub_grafar_771"
}

Petrović, Z. Z.,& Pucanović, Z.. (2016). The line graph associated to the total graph of a commutative ring. in Ars Combinatoria, 127, 185-195.
https://hdl.handle.net/21.15107/rcub_grafar_771

Petrović ZZ, Pucanović Z. The line graph associated to the total graph of a commutative ring. in Ars Combinatoria. 2016;127:185-195.
https://hdl.handle.net/21.15107/rcub_grafar_771 .

Petrović, Zoran Z., Pucanović, Zoran, "The line graph associated to the total graph of a commutative ring" in Ars Combinatoria, 127 (2016):185-195,
https://hdl.handle.net/21.15107/rcub_grafar_771 .

TY  - JOUR
AU  - Pucanović, Zoran
AU  - Radovanović, Marko
AU  - Erić, Aleksandra Lj.
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3177
AB  - To each commutative ring R one can associate the graph G(R), called the intersection
graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish
some connections between commutative ring theory and graph theory, by study of the
genus of the intersection graph of ideals. We classify all graphs of genus 2 that are
intersection graphs of ideals of some commutative rings and obtain some lower bounds
for the genus of the intersection graph of ideals of a nonlocal commutative ring.
PB  - World Scientific Publishing Co. Pte. Ltd.
T2  - Journal of Algebra and Its Applications
T1  - On the Genus of the Intersection Graph of Ideals of a Commutative Ring
VL  - 13(5)
DO  - 10.1142/S0219498813501557
ER  - 

@article{
author = "Pucanović, Zoran and Radovanović, Marko and Erić, Aleksandra Lj.",
year = "2014",
abstract = "To each commutative ring R one can associate the graph G(R), called the intersection
graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish
some connections between commutative ring theory and graph theory, by study of the
genus of the intersection graph of ideals. We classify all graphs of genus 2 that are
intersection graphs of ideals of some commutative rings and obtain some lower bounds
for the genus of the intersection graph of ideals of a nonlocal commutative ring.",
publisher = "World Scientific Publishing Co. Pte. Ltd.",
journal = "Journal of Algebra and Its Applications",
title = "On the Genus of the Intersection Graph of Ideals of a Commutative Ring",
volume = "13(5)",
doi = "10.1142/S0219498813501557"
}

Pucanović, Z., Radovanović, M.,& Erić, A. Lj.. (2014). On the Genus of the Intersection Graph of Ideals of a Commutative Ring. in Journal of Algebra and Its Applications
World Scientific Publishing Co. Pte. Ltd.., 13(5).
https://doi.org/10.1142/S0219498813501557

Pucanović Z, Radovanović M, Erić AL. On the Genus of the Intersection Graph of Ideals of a Commutative Ring. in Journal of Algebra and Its Applications. 2014;13(5).
doi:10.1142/S0219498813501557 .

Pucanović, Zoran, Radovanović, Marko, Erić, Aleksandra Lj., "On the Genus of the Intersection Graph of Ideals of a Commutative Ring" in Journal of Algebra and Its Applications, 13(5) (2014),
https://doi.org/10.1142/S0219498813501557 . .

TY  - JOUR
AU  - Erić, Aleksandra
AU  - Pucanović, Zoran
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1015
AB  - Let   be a commutative ring with identity and   its total graph. The subject of this article is the investigation of the properties of the corresponding line graph   In particular, we determine the girth and clique number of   In addition to that, we find the condition for   to be Eulerian.
T2  - Pure and Applied Mathematics Journal
T1  - Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring
EP  - 51
IS  - 2
SP  - 51
VL  - 2
DO  - 10.11648/j.pamj.20130202.11
ER  - 

@article{
author = "Erić, Aleksandra and Pucanović, Zoran",
year = "2014",
abstract = "Let   be a commutative ring with identity and   its total graph. The subject of this article is the investigation of the properties of the corresponding line graph   In particular, we determine the girth and clique number of   In addition to that, we find the condition for   to be Eulerian.",
journal = "Pure and Applied Mathematics Journal",
title = "Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring",
pages = "51-51",
number = "2",
volume = "2",
doi = "10.11648/j.pamj.20130202.11"
}

Erić, A.,& Pucanović, Z.. (2014). Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring. in Pure and Applied Mathematics Journal, 2(2), 51-51.
https://doi.org/10.11648/j.pamj.20130202.11

Erić A, Pucanović Z. Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring. in Pure and Applied Mathematics Journal. 2014;2(2):51-51.
doi:10.11648/j.pamj.20130202.11 .

Erić, Aleksandra, Pucanović, Zoran, "Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring" in Pure and Applied Mathematics Journal, 2, no. 2 (2014):51-51,
https://doi.org/10.11648/j.pamj.20130202.11 . .

TY  - JOUR
AU  - Pucanović, Zoran
AU  - Radovanović, Marko
AU  - Erić, Aleksandra
PY  - 2014
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/636
AB  - To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring theory and graph theory, by study of the genus of the intersection graph of ideals. We classify all graphs of genus 2 that are intersection graphs of ideals of some commutative rings and obtain some lower bounds for the genus of the intersection graph of ideals of a nonlocal commutative ring.
T2  - Journal of Algebra and Its Applications
T1  - On the genus of the intersection graph of ideals of a commutative ring
IS  - 5
VL  - 13
DO  - 10.1142/S0219498813501557
ER  - 

@article{
author = "Pucanović, Zoran and Radovanović, Marko and Erić, Aleksandra",
year = "2014",
abstract = "To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring theory and graph theory, by study of the genus of the intersection graph of ideals. We classify all graphs of genus 2 that are intersection graphs of ideals of some commutative rings and obtain some lower bounds for the genus of the intersection graph of ideals of a nonlocal commutative ring.",
journal = "Journal of Algebra and Its Applications",
title = "On the genus of the intersection graph of ideals of a commutative ring",
number = "5",
volume = "13",
doi = "10.1142/S0219498813501557"
}

Pucanović, Z., Radovanović, M.,& Erić, A.. (2014). On the genus of the intersection graph of ideals of a commutative ring. in Journal of Algebra and Its Applications, 13(5).
https://doi.org/10.1142/S0219498813501557

Pucanović Z, Radovanović M, Erić A. On the genus of the intersection graph of ideals of a commutative ring. in Journal of Algebra and Its Applications. 2014;13(5).
doi:10.1142/S0219498813501557 .

Pucanović, Zoran, Radovanović, Marko, Erić, Aleksandra, "On the genus of the intersection graph of ideals of a commutative ring" in Journal of Algebra and Its Applications, 13, no. 5 (2014),
https://doi.org/10.1142/S0219498813501557 . .