The sum-annihilating essential ideal graph of a commutative‎ ‎ring

Let $R$ be a commutative ring with identity‎. ‎An ideal $I$ of a ring $R$‎ ‎is called an annihilating ideal if there exists $r\in R\setminus \{0\}$ such that $Ir=(0)$ and an ideal $I$ of‎ ‎$R$ is called an essential ideal if $I$ has non-zero intersection‎ ‎with every other non-zero ideal of $R$‎....

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Bibliographic Details
Main Authors: A‎. ‎Alilou, J‎. ‎Amjadi
Format: Article
Language:English
Published: Azarbaijan Shahide Madani University 2016-06-01
Series:Communications in Combinatorics and Optimization
Subjects:
Online Access:http://comb-opt.azaruniv.ac.ir/article_13555_0.html