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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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Some commutativity results for rings with two-variable constraints
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by H. E. Bell
Proc. Amer. Math. Soc. 53 (1975), 280-284
DOI: https://doi.org/10.1090/S0002-9939-1975-0382357-9

Abstract:

It is proved that an associative ring $R$ has nil commutator ideal if for each $x,\;y\epsilon R$, there is a polynomial $p(X)\epsilon X{\mathbf {Z}}[X]$ for which $xy - yp(x)$ is central. Two restrictions on the $p(X)$ which guarantee commutativity are established.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 280-284
  • MSC: Primary 16A70
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0382357-9
  • MathSciNet review: 0382357