Prime Decomposition of Zero Divisor Graph in a Commutative Ring

A. Kuppan, J. Ravi Sankar and Cenap Özel

Mathematical Problems in Engineering, 2022, vol. 2022, 1-4

Abstract: Let R be a commutative ring and let ΓZn be the zero divisor graph of a commutative ring R, whose vertices are nonzero zero divisors of Zn, and such that the two vertices u,v are adjacent if n divides uv. In this paper, we introduce the concept of prime decomposition of zero divisor graph in a commutative ring and also discuss some special cases of ΓZ3p, ΓZ5p, ΓZ7p, and ΓZpq.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2152513

DOI: 10.1155/2022/2152513

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