# On seminormal monoid rings

Research paper by Winfried Bruns, Ping Li, Tim Roemer

Indexed on: 12 Jun '05Published on: 12 Jun '05Published in: Mathematics - Commutative Algebra

#### 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.