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http://dx.doi.org/10.5831/HMJ.2012.34.4.571

ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES

Lee, Sang Cheol (Department of Mathematics Education, and Institute of Pure and Applied Mathematics, Chonbuk National University)
Varmazyar, Rezvan (Department of Mathematics, Islamic Azad University, Khoy Branch)

Publication Information

Honam Mathematical Journal / v.34, no.4, 2012 , pp. 571-584 More about this Journal

Abstract

In this study, we investigate the concept of zero-divisor graphs of multiplication modules over commutative rings as a natural generalization of zero-divisor graphs of commutative rings. In particular, we study the zero-divisor graphs of the module $\mathbb{Z}_n$ over the ring $\mathbb{Z}$ of integers, where $n$ is a positive integer greater than 1.

Keywords

Zero-divisor; Multiplication module;

Citations & Related Records

Reference

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