Serre's Condition R_l for Affine Semigroup Rings

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dc.creatorVitulli, Marie A.
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:51:06Z
dc.date.available2026-07-07T08:51:06Z
dc.descriptionIn this note we characterize the affine semigroup rings K[S] over an arbitrary field K that satisfy condition R_l of Serre. Our characterization is in terms of the face lattice of the positive cone pos(S) of S. We start by reviewing some basic facts about the faces of pos(S) and consequences for the monomial primes of K[S]. After proving our characterization we turn our attention to the Rees algebras of a special class of monomial ideals in a polynomial ring over a field. In this special case, some of the characterizing criteria are always satisfied. We give examples of nonnormal affine semigroup rings that satisfy R_2.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0712.3818
dc.identifierhttp://arxiv.org/abs/0712.3818
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144822
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13A02, 13A30, 13F55
dc.titleSerre's Condition R_l for Affine Semigroup Rings
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