Group-graded rings and duality-Reference-Cited by-同舟云学术

Group-graded rings and duality

Published:1985 Issue:1 Volume:292 Page:155-167
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Quinn Declan

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1985-292-01/S0002-9947-1985-0805958-0/S0002-9947-1985-0805958-0.pdf

Reference5 articles.

1. Group-graded rings, smash products, and group actions;Cohen, M.;Trans. Amer. Math. Soc.,1984

2. Group graded rings;Cohen, Miriam;Comm. Algebra,1983

3. It’s essentially Maschke’s theorem;Passman, D. S.;Rocky Mountain J. Math.,1983

4. Semiprime crossed products;Passman, D. S.;Houston J. Math.,1985

5. Infinite crossed products and group-graded rings;Passman, D. S.;Trans. Amer. Math. Soc.,1984

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