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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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Descending chain conditions for graded rings
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by M. Saorín PDF
Proc. Amer. Math. Soc. 115 (1992), 295-301 Request permission

Abstract:

It is proved that if $R$ is a perfect (resp. Artinian) strongly graded ring whose ground subring is, modulo its Jacobson radical, a finite direct product of finite-dimensional simple algebras over (nondenumerable) algebraically closed fields, then the grading group cannot contain an infinite abelian subgroup (resp. must be finite). These results extend those of A. Reid and D. S. Passman on twisted group algebras.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 115 (1992), 295-301
  • MSC: Primary 16W50; Secondary 16P60
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1093603-0
  • MathSciNet review: 1093603