Comaximal graph of commutative rings
| dc.creator | Maimani, Hamid Reza | |
| dc.creator | Salimi, Maryam | |
| dc.creator | Sattari, Asiyeh | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T07:44:05Z | |
| dc.date.available | 2026-07-07T07:44:05Z | |
| dc.description | Let $R$ be a commutative ring with identity. Let $Γ(R)$ be a graph with vertices as elements of $R$, where two distinct vertices $a$ and $b$ are adjacent if and only if $Ra+Rb=R$. In this paper we consider a subgraph $Γ_2(R)$ of $Γ(R)$ which consists of non-unit elements. We look at the connectedness and the diameter of this graph. We completely characterize the diameter of the graph $Γ_2(R)\setminus\J(R)$. In addition, it is shown that for two finite semi-local rings $R$ and $S$, if $R$ is reduced, then $Γ(R)\congΓ(S)$ if and only if $R\cong S$. | |
| dc.description | 8 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0701918 | |
| dc.identifier | http://arxiv.org/abs/math/0701918 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123066 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 05C75; 13A15 | |
| dc.title | Comaximal graph of commutative rings | |
| dc.type | text |