Structure theorems over polynomial rings

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    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,]. © 2006 Elsevier Inc. All rights reserved.
    Original languageEnglish
    Pages (from-to)408-421
    Number of pages13
    JournalAdvances in Mathematics
    Issue number1
    Publication statusPublished - 15 Jan 2007


    • Group action
    • Polynomial ring
    • Structure theorem


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