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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On semiprime Jordan rings $H(R)$ with ACC
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by Daniel J. Britten PDF
Proc. Amer. Math. Soc. 45 (1974), 175-178 Request permission

Abstract:

Let $R$ be a $2$-torsion free semiprime associative ring with involution*. Conditions are put on the Jordan ring $H(R)$ of symmetric elements which imply the existence of a ring of quotients which is a direct sum of involution simple Artinian rings. Using this result we obtain a Jordan ring of quotients for $H(R)$.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 175-178
  • MSC: Primary 17C10
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0399197-6
  • MathSciNet review: 0399197