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On seminormal monoid rings

Winfried Bruns·Ping Li·Tim Roemer
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Abstract

Given a seminormal affine monoid M we consider several monoid properties of M and their connections to ring properties of the associated affine monoid ring K[M] over a field K. We characterize when K[M] satisfies Serre's condition (S_2) and analyze the local cohomology of K[M]. As an application we present criteria which imply that K[M] is Cohen--Macaulay and we give lower bounds for the depth of K[M]. Finally, the seminormality of an arbitrary affine monoid M is studied with characteristic p methods.

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BibTeXRIS

Winfried Bruns, Ping Li, Tim Roemer. 2005-06-12. On seminormal monoid rings. https://doi.org/10.1016/j.jalgebra.2005.11.012

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