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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