2021Journal of mathematical extension.Open access

Identifying Exact Pairs of Zero-divisors from Zero-divisor Graphs of Commutative Rings

Justin Hoffmeier

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Abstract

We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.

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What this paper is about

We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.

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Available abstract

We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.

Key concepts: Zero divisor, Mathematics, Zero (linguistics), Divisor (algebraic geometry), Commutative ring, Discrete mathematics, Commutative property, Combinatorics

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