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
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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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- Miriam Cohen and Louis H. Rowen, Group graded rings, Comm. Algebra 11 (1983), no. 11, 1253–1270. MR 696990, DOI 10.1080/00927878308822904
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- D. S. Passman, Infinite crossed products and group-graded rings, Trans. Amer. Math. Soc. 284 (1984), no. 2, 707–727. MR 743740, DOI 10.1090/S0002-9947-1984-0743740-2
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