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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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Some radical properties of $s$-rings
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by Michael Rich
Proc. Amer. Math. Soc. 30 (1971), 40-42
DOI: https://doi.org/10.1090/S0002-9939-1971-0283034-1

Abstract:

The class of s-rings includes as a proper subset the classes of associative, alternative, Lie, Jordan, and standard rings. It is shown that in any s-ring R the prime radical of R coincides with the Baer lower radical of R. Relationships between the prime radical and certain other radicals are also given.
References
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 30 (1971), 40-42
  • MSC: Primary 17.10
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0283034-1
  • MathSciNet review: 0283034