Zero-Annihilator Graphs of Commutative Rings
Abstract
Assume that R is a commutative ring with nonzero identity. In this paper, we introduce and investigate zero-annihilator graph of R denoted by ZA(R). It is the graph whose vertex set is the set of all nonzero nonunit elements of R and two distinct vertices x and y are adjacent whenever AnnR(x) AnnR(y)=\0\.
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