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- W2078412495 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 R a + R b = 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 ) ∖ 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 ." @default.
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- W2078412495 date "2008-02-01" @default.
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- W2078412495 title "Comaximal graph of commutative rings" @default.
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- W2078412495 doi "https://doi.org/10.1016/j.jalgebra.2007.02.003" @default.
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