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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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Representable monoids
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by Earl J. Taft PDF
Proc. Amer. Math. Soc. 70 (1978), 1-4 Request permission

Abstract:

A representable monoid is one with enough representative functions to separate points. It is shown that the monoid algebra of a representable monoid is a proper algebra. In particular, the group algebra of a residually-finite group is a proper algebra. It is also shown that the free product of two representable monoids is again representable.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 70 (1978), 1-4
  • MSC: Primary 20M25; Secondary 20M30
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0486253-0
  • MathSciNet review: 0486253