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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An isomorphism for the Grothendieck ring of a Hopf algebra order
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by Anna-Lise Jensen and Richard G. Larson PDF
Proc. Amer. Math. Soc. 97 (1986), 197-200 Request permission

Abstract:

If $G$ is a finite abelian group, $R$ is a principal ideal domain with field of quotients an algebraic number field $K$ which splits $G$, and if $A$ is a Hopf algebra order in KG, then the Grothendieck ring of the category of finitely generated $A$-modules is isomorphic to the Grothendieck ring of the category of finitely generated RG-modules.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 197-200
  • MSC: Primary 16A54; Secondary 16A24, 18F25, 19A31
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0835864-3
  • MathSciNet review: 835864