Commutative rings with toroidal zero-divisor graphs

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dc.creatorChiang-Hsieh, Hung-Jen
dc.creatorSmith, Neal O.
dc.creatorWang, Hsin-Ju
dc.date2007-02-15
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:32Z
dc.date.available2026-07-07T09:50:32Z
dc.descriptionLet $R$ be a commutative ring and $Γ(R)$ denote its zero-divisor graph. In this paper, we investigate the genus number of the compact Riemann surface which $Γ(R)$ can be embedded and illustrate all finite commutative rings $R$ (up to isomorphism) such that $Γ(R)$ is either toroidal or planar.
dc.descriptionRevision and correction of Table 2. To appear in Houston Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0702451
dc.identifierhttp://arxiv.org/abs/math/0702451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164972
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13A99; 05C10; 13M99
dc.titleCommutative rings with toroidal zero-divisor graphs
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