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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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Minimal ideals in group rings
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by D. S. Passman
Proc. Amer. Math. Soc. 31 (1972), 81-86
DOI: https://doi.org/10.1090/S0002-9939-1972-0291313-8
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Abstract:

Let $K[G]$ denote the group ring of $G$ over an algebraically closed field $K$. In this paper we show that $K[G]$ has a minimal left ideal which affords a finite dimensional representation of the ring if and only if $G$ is finite.
References
Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 81-86
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0291313-8
  • MathSciNet review: 0291313