Title : ( A new approach to the zero-divisor graphs )
Authors: Ehsan Estaji , mozhgan afkhami goli , Mahdi Reza Khorsandi , Kazem Khashyarmanesh ,
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Abstract
The concept of a zero-divisor graph of a commutative ring was introduced and studied by Beck. In this talk, by using module endomorphisms, we extend the concept of the zero-divisor graph of a ring to a module over an arbitrary commutative ring. The main aim of this talk is studying the interplay of module-theoretic properties of a module with graph properties of its zero-divisor graph.
Keywords
, Zero-divisor graph, Endomorphism of a module
@inproceedings{paperid:1020718,
author = {Estaji, Ehsan and Afkhami Goli, Mozhgan and Khorsandi, Mahdi Reza and Khashyarmanesh, Kazem},
title = {A new approach to the zero-divisor graphs},
booktitle = {Third Algebraic Combinatorics Conference of Iran 2011},
year = {2011},
location = {اصفهان, IRAN},
keywords = {Zero-divisor
graph; Endomorphism of a module},
}
%0 Conference Proceedings
%T A new approach to the zero-divisor graphs
%A Estaji, Ehsan
%A Afkhami Goli, Mozhgan
%A Khorsandi, Mahdi Reza
%A Khashyarmanesh, Kazem
%J Third Algebraic Combinatorics Conference of Iran 2011
%D 2011
