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
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 . .
