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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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Conjugates in prime rings
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by Charles Lanaki PDF
Trans. Amer. Math. Soc. 154 (1971), 185-192 Request permission

Abstract:

Let R be a prime ring with identity, center $Z \ne GF(2)$, and a nonidentity idempotent. If R is not finite and if $x \in R - Z$, then x has infinitely many distinct conjugates in R. If R has infinitely many Z-independent elements then $x \in R - Z$ has infinitely many Z-independent conjugates.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 154 (1971), 185-192
  • MSC: Primary 16.53
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0277571-8
  • MathSciNet review: 0277571