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  - 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  - 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 . .