On Cohen-Macaulay rings of invariants

Details On Cohen-Macaulay rings of invariants On Cohen-Macaulay rings of invariants

2000-12-20

arxiv.org/abs/math/0012201v1

Mathematics

Commutative Algebra

15 pages, LaTeX with xypic

Scientific paper

We investigate the transfer of the Cohen-Macaulay property from a commutative ring to a subring of invariants under the action of a finite group. Our point of view is ring theoretic and not a priori tailored to a particular type of group action. As an illustration, we briefly discuss the special case of multiplicative actions, that is, actions on group algebras $k[\bbZ^n]$ via an action on $\bbZ^n$.

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