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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Commutativity of rings with abelian or solvable units
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by W. K. Nicholson and H. J. Springer PDF
Proc. Amer. Math. Soc. 56 (1976), 59-62 Request permission

Abstract:

A ring is called left suitable if idempotents can be lifted modulo every left ideal. These rings include all regular and all semiperfect rings. A left suitable ring with abelian group of units is commutative if it is either semiprime or $2$-torsion-free. A left suitable ring with zero Jacobson radical and solvable group of units is commutative if it is $6$-torsion-free.
References
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 59-62
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0399180-2
  • MathSciNet review: 0399180