An ideal-based zero-divisor graph of direct products of commutative rings
Shahabaddin Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi
Abstract
Shahabaddin Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi
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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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