On the radius and the relation between the total graph of a commutative ring and its extensions
Apstrakt
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.
Ključne reči:
commutative rings / zero-divisors / total graphIzvor:
Publications de l'Institut Mathematique, 2011, 89, 103, 1-9Izdavač:
- Srpska akademija nauka i umetnosti SANU - Matematički institut, Beograd
Finansiranje / projekti:
- Analiza i algebra sa primenama (RS-174032)
DOI: 10.2298/PIM1103001P
ISSN: 0350-1302
WoS: 000306804800001
Scopus: 2-s2.0-84856207633
Kolekcije
Institucija/grupa
GraFarTY - 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 . .