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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The prime radical in special Jordan rings
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by T. S. Erickson and S. Montgomery PDF
Trans. Amer. Math. Soc. 156 (1971), 155-164 Request permission

Abstract:

If R is an associative ring, we consider the special Jordan ring ${R^ + }$, and when R has an involution, the special Jordan ring S of symmetric elements. We first show that the prime radical of R equals the prime radical of ${R^ + }$, and that the prime radical of R intersected with S is the prime radical of S. Next we give an elementary characterization, in terms of the associative structure of R, of primeness of S. Finally, we show that a prime ideal of R intersected with S is a prime Jordan ideal of S.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 156 (1971), 155-164
  • MSC: Primary 17.40; Secondary 16.00
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0274543-4
  • MathSciNet review: 0274543