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