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On the radius and the relation between the total graph of a commutative ring and its extensions

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2011
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Authors
Pucanović, Zoran
Petrović, Zoran Z.
Article (Published version)
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Abstract
We discuss the determination of the radius of the total graph of a commutative ring R in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the R-module M and relations between the total graph of the ring R and its extensions are also dealt with.
Keywords:
commutative rings / zero-divisors / total graph
Source:
Publications de l'Institut Mathematique, 2011, 89, 103, 1-9
Publisher:
  • Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
Funding / projects:
  • Analysis and algebra with applications (RS-174032)

DOI: 10.2298/PIM1103001P

ISSN: 0350-1302

WoS: 000306804800001

Scopus: 2-s2.0-84856207633
[ Google Scholar ]
9
9
URI
https://grafar.grf.bg.ac.rs/handle/123456789/395
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - JOUR
AU  - Pucanović, Zoran
AU  - Petrović, Zoran Z.
PY  - 2011
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/395
AB  - We discuss the determination of the radius of the total graph of a commutative ring R in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the R-module M and relations between the total graph of the ring R and its extensions are also dealt with.
PB  - Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
T2  - Publications de l'Institut Mathematique
T1  - On the radius and the relation between the total graph of a commutative ring and its extensions
EP  - 9
IS  - 103
SP  - 1
VL  - 89
DO  - 10.2298/PIM1103001P
ER  - 
@article{
author = "Pucanović, Zoran and Petrović, Zoran Z.",
year = "2011",
abstract = "We discuss the determination of the radius of the total graph of a commutative ring R in the case when this graph is connected. Typical extensions such as polynomial rings, formal power series, idealization of the R-module M and relations between the total graph of the ring R and its extensions are also dealt with.",
publisher = "Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd",
journal = "Publications de l'Institut Mathematique",
title = "On the radius and the relation between the total graph of a commutative ring and its extensions",
pages = "9-1",
number = "103",
volume = "89",
doi = "10.2298/PIM1103001P"
}
Pucanović, Z.,& Petrović, Z. Z.. (2011). On the radius and the relation between the total graph of a commutative ring and its extensions. in Publications de l'Institut Mathematique
Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd., 89(103), 1-9.
https://doi.org/10.2298/PIM1103001P
Pucanović Z, Petrović ZZ. On the radius and the relation between the total graph of a commutative ring and its extensions. in Publications de l'Institut Mathematique. 2011;89(103):1-9.
doi:10.2298/PIM1103001P .
Pucanović, Zoran, Petrović, Zoran Z., "On the radius and the relation between the total graph of a commutative ring and its extensions" in Publications de l'Institut Mathematique, 89, no. 103 (2011):1-9,
https://doi.org/10.2298/PIM1103001P . .

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