Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
نویسندگان
چکیده
منابع مشابه
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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[Z n ] via an action on Z n .
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1974
ISSN: 0001-8708
DOI: 10.1016/0001-8708(74)90067-x