2014Discussiones Mathematicae - General Algebra and ApplicationsRequires access

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

Shahabaddin Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi

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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.

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What this paper is about

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.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Zero divisor, Mathematics, Commutative ring, Girth (graph theory), Primary ideal, Category of rings, Ideal (ethics), Graph

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