On Cohen-Macaulay Rings of Invariants
(with J. Pathak)


Publication status: has appeared in J. Algebra 245 (2001), 247-264; posted as math.RA/0012201.
 

Abstract: We investigate the transfer of the Cohen-Macaulay property from a  commutative
ring  R  to a subring  RG  of invariants under the action of a finite group  G . 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[Zn]  via an action on  Zn .
 
 

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