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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Normalizing elements in PI rings
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by Robert M. Guralnick, J. Chris Robson and Lance W. Small PDF
Proc. Amer. Math. Soc. 123 (1995), 1955-1957 Request permission

Abstract:

This paper explores the question: If R is a prime PI ring and a an element such that $aR \supseteq Ra$, is it true that $aR = Ra$?
References
  • Amiram Braun and L. W. Small, Localization in prime Noetherian p.i. rings, Math. Z. 193 (1986), no. 3, 323–330. MR 862879, DOI 10.1007/BF01229800
    • P. M. Cohn, Algebra III, Wiley, New York and Chichester, 1991.
  • S. Montgomery, A generalized Picard group for prime rings, Topics in algebra, Part 1 (Warsaw, 1988) Banach Center Publ., vol. 26, PWN, Warsaw, 1990, pp. 55–63. MR 1171225
  • J. C. McConnell and J. C. Robson, Noncommutative Noetherian rings, Pure and Applied Mathematics (New York), John Wiley & Sons, Ltd., Chichester, 1987. With the cooperation of L. W. Small; A Wiley-Interscience Publication. MR 934572
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1955-1957
  • MSC: Primary 16R20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1301026-4
  • MathSciNet review: 1301026