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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Group-graded rings and duality
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by Declan Quinn
Trans. Amer. Math. Soc. 292 (1985), 155-167
DOI: https://doi.org/10.1090/S0002-9947-1985-0805958-0

Abstract:

We give an alternative construction of the duality between finite group actions and group gradings on rings which was shown by Cohen and Montgomery in [1]. This duality is then used to extend known results on skew group rings to corresponding results for large classes of group-graded rings. Finally we modify the construction slightly to handle infinite groups.
References
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 292 (1985), 155-167
  • MSC: Primary 16A03; Secondary 16A12
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0805958-0
  • MathSciNet review: 805958