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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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On the constructibility of prime characteristic periodic associative and Jordan rings
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by J. A. Loustau PDF
Trans. Amer. Math. Soc. 199 (1974), 269-279 Request permission

Abstract:

The object of this paper is to show that any periodic associative ring of prime characteristic can be embedded in a periodic associative ring of prime characteristic which is constructible from a relatively complemented, distributive lattic and a family of periodic fields. Further, it will be proved that any periodic Jordan ring of prime characteristic is also embeddable in a periodic Jordan ring which is constructible from a lattice of the above type and a family of periodic Jordan rings of a symmetric bilinear form.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 199 (1974), 269-279
  • MSC: Primary 17C50; Secondary 16A48
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0379621-X
  • MathSciNet review: 0379621