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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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On when a graded ring is graded equivalent to a crossed product
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by Jeremy Haefner
Proc. Amer. Math. Soc. 124 (1996), 1013-1021
DOI: https://doi.org/10.1090/S0002-9939-96-03138-3

Abstract:

Let $R$ be a ring graded by a group $G$. We are concerned with describing those $G$-graded rings that are graded equivalent to $G$-crossed products. We give necessary and sufficient conditions for when a strongly graded ring is graded equivalent to a crossed product, provided that the 1-component is either Azumaya or semiperfect. Our result uses the torsion product theorem of Bass and Guralnick. We also construct various examples of such rings.
References
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Bibliographic Information
  • Jeremy Haefner
  • Email: haefner@math.uccs.edu
  • Received by editor(s): April 26, 1994
  • Received by editor(s) in revised form: September 6, 1994
  • Additional Notes: The authorโ€™s research was partially supported by the National Security Agency
  • Communicated by: Ken Goodearl
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1013-1021
  • MSC (1991): Primary 16D90, 16S35, 16S40, 16S50, 16W50
  • DOI: https://doi.org/10.1090/S0002-9939-96-03138-3
  • MathSciNet review: 1301027