Zero divisor graphs of semigroups

Frank DeMeyer, Lisa DeMeyer

Research output: Contribution to journalArticlepeer-review

114 Scopus citations

Abstract

The zero divisor graph of a commutative semigroup with zero is a graph whose vertices are the nonzero zero divisors of the semigroup, with two distinct vertices joined by an edge in case their product in the semigroup is zero. We continue the study of this construction and its extension to a simplicial complex.

Original languageEnglish
Pages (from-to)190-198
Number of pages9
JournalJournal of Algebra
Volume283
Issue number1
DOIs
StatePublished - Jan 1 2005

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