“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 8541 |
|
||||
| Abstract: | |||||
|
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 Γ2(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 Γ2(R)\J(R). In addition,
it is shown that for two finite semi-local rings R and S, if
R is reduced, then Γ(R) ≅ Γ(S) if and only if R ≅ S.
Download TeX format |
|||||
| back to top | |||||
