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THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS

Katayoun Nozari; Sh. Payrovi

Volume 9, Issue 1 , September 2021, , Pages 1-12

https://doi.org/10.22044/jas.2020.9194.1448

Abstract
  ‎Let $R$ be a commutative ring and $M$ be an $R$-module‎. ‎The‎ ‎annihilator graph of $M$‎, ‎denoted by $AG(M)$ is a simple undirected‎ ‎graph associated to $M$ whose the set of vertices is‎ ‎$Z_R(M) \setminus {\rm Ann}_R(M)$ and two distinct vertices $x$ and‎ ...  Read More