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On Cohen–Macaulay Rings of Invariants

✍ Scribed by M Lorenz; J Pathak

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
148 KB
Volume
245
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 discuss the special case of multiplicative actions, that is, w n x n actions on group algebras k ‫ޚ‬ via an action on ‫ޚ‬ .

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