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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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GPIs having coefficients in Utumi quotient rings
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by Chen-Lian Chuang
Proc. Amer. Math. Soc. 103 (1988), 723-728
DOI: https://doi.org/10.1090/S0002-9939-1988-0947646-4

Abstract:

Let $R$ be a prime ring and let $U$ be its Utumi quotient ring. We prove the following: (1) If $R$ satisfies a GPI having all its coefficients in $U$, then $R$ satisfies a GPI having all its coefficients in $R$. (2) $R$ and $U$ satisfy the same GPIs having their coefficients in $U$.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 723-728
  • MSC: Primary 16A38; Secondary 16A08, 16A12
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947646-4
  • MathSciNet review: 947646