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2015 Zero-divisor graphs of modules via module homomorphisms
M. Afkhami, E. Estaji, K. Khashyarmanesh, M.R. Khorsandi
Rocky Mountain J. Math. 45(1): 1-11 (2015). DOI: 10.1216/RMJ-2015-45-1-1

Abstract

In this paper, 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 article is studying the interplay of module-theoretic properties of a module with graph properties of its zero-divisor graph.

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M. Afkhami. E. Estaji. K. Khashyarmanesh. M.R. Khorsandi. "Zero-divisor graphs of modules via module homomorphisms." Rocky Mountain J. Math. 45 (1) 1 - 11, 2015. https://doi.org/10.1216/RMJ-2015-45-1-1

Information

Published: 2015
First available in Project Euclid: 7 April 2015

zbMATH: 1310.05114
MathSciNet: MR3334202
Digital Object Identifier: 10.1216/RMJ-2015-45-1-1

Subjects:
Primary: 05C25
Secondary: 05C10, 13C05

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.45 • No. 1 • 2015
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