Abstract
Let (Γ(R))c be the maximal graph of a commutative ring with identity R whose vertices are elements of R. Two distinct vertices a and b are adjacent if and only if Ra+Rb≠R or there exists a maximal ideal of R containing both them. In this paper, we study some properties of two (induced) subgraphs (Γ2(R))c and (G(R))c of (Γ(R))c.
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More From: Advanced Studies: Euro-Tbilisi Mathematical Journal
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