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Serre's Condition R<sub>โ</sub>for Affine Semigroup Rings
In this note we characterize the affine semigroup rings K[S] over an arbitrary field K that satisfy condition Rโ 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 โฆ