Complete $r$-partite zero-divisor graphs and coloring of commutative semigroups

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dc.creatorMaimani, Hamid Reza
dc.creatorMogharrab, Mojgan
dc.creatorYassemi, Siamak
dc.date2007-01-23
dc.date.accessioned2026-07-07T07:42:39Z
dc.date.available2026-07-07T07:42:39Z
dc.descriptionFor a commutative semigroup $S$ with 0, the zero-divisor graph of $S$ denoted by $Γ(S)$ is the graph whose vertices are nonzero zero-divisor of $S$, and two vertices $x$, $y$ are adjacent in case $xy=0$ in $S$. In this paper we study the case where the graph $Γ(S)$ is complete $r$-partite for a positive integer $r$. Also we study the commutative semigroups which are finitely colorable.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0701627
dc.identifierhttp://arxiv.org/abs/math/0701627
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122521
dc.subjectGroup Theory
dc.subjectCommutative Algebra
dc.subject20M14; 13A99
dc.titleComplete $r$-partite zero-divisor graphs and coloring of commutative semigroups
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