Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667972 | Advances in Mathematics | 2007 | 14 Pages |
Abstract
Given a polynomial ring R over a field k and a finite group G, we consider a finitely generated graded RG-module S. We regard S as a kG-module and show that various conditions on S are equivalent, such as only containing finitely many isomorphism classes of indecomposable summands or satisfying a structure theorem in the sense of [D. Karagueuzian, P. Symonds, The module structure of a group action on a polynomial ring: A finiteness theorem, preprint, http://www.ma.umist.ac.uk/pas/preprints].
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Physical Sciences and Engineering
Mathematics
Mathematics (General)