An ideal-based zero-divisor graph of direct products of commutative rings

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 1

Abstract

In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings. Keywords: zero-divisor graph, ideal-based, diameter, girth, finite direct product. 2010 Mathematics Subject Classification: 05C40, 05C45, 13A99

Authors and Affiliations

Z. Sarvandi, M. Kohan, S. Atani

Keywords

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  • EP ID EP166026
  • DOI -
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How To Cite

Z. Sarvandi, M. Kohan, S. Atani (2014). An ideal-based zero-divisor graph of direct products of commutative rings. Discussiones Mathematicae - General Algebra and Applications, 34(1), -. https://europub.co.uk/articles/-A-166026