Classification of rings with toroidal annihilating-ideal graph

Let $R$ be a non-domain commutative ring with identity and $\mathbb{A}^*(R)$ be the set of non-zero ideals with non-zero annihilators‎. ‎We call an ideal $I_1$ of $R$‎, ‎an \textit{annihilating-ideal} if there exists a non-zero ideal $I_2$ of $R$ such that $I_1I_2=(0)$‎. ‎The \textit{annihilating-id...

Full description

Bibliographic Details
Main Authors: K‎. ‎Selvakumar, P‎. ‎Subbulakshmi
Format: Article
Language:English
Published: Azarbaijan Shahide Madani University 2018-01-01
Series:Communications in Combinatorics and Optimization
Subjects:
Online Access:http://comb-opt.azaruniv.ac.ir/article_13745_0.html