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An extension of the essential graph of a ring
Let \(A\) be a commutative ring with non-zero identity, and \(E(A)=\{p\in A | ann_A(pq)\leq_e A, ~\mbox { for some } ~q\in A^* \}\) . The extended essential graph, denoted by \(E_gG(A)\) is a graph with the vertex set \(E(A)^*=E(A)\setminus\{0\}\). Two distinct vertices \(r, s\in E(A)^*\) are adjace...
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Format: | Article |
Language: | English |
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Lugansk National Taras Shevchenko University
2024
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Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2120 |
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