On seminormal monoid rings
交换代数
2021-05-18 v1
摘要
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.
引用
@article{arxiv.math/0506221,
title = {On seminormal monoid rings},
author = {Winfried Bruns and Ping Li and Tim Roemer},
journal= {arXiv preprint arXiv:math/0506221},
year = {2021}
}
备注
23 pages