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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Indecomposable coalgebras, simple comodules, and pointed Hopf algebras
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by Susan Montgomery
Proc. Amer. Math. Soc. 123 (1995), 2343-2351
DOI: https://doi.org/10.1090/S0002-9939-1995-1257119-3

Abstract:

We prove that every coalgebra C is a direct sum of coalgebras in such a way that the summands correspond to the connected components of the Ext quiver of the simple comodules of C. This result is used to prove that every pointed Hopf algebra is a crossed product of a group over the indecomposable component of the identity element.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2343-2351
  • MSC: Primary 16W30
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1257119-3
  • MathSciNet review: 1257119