Infinite crossed products and group-graded rings
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- by D. S. Passman PDF
- Trans. Amer. Math. Soc. 284 (1984), 707-727 Request permission
Abstract:
In this paper, we precisely determine when a crossed product $R\;\ast \;G$ is semiprime or prime. Indeed we show that these conditions ultimately depend upon the analogous conditions for the crossed products $R\;\ast \;N$ of the finite subgroups $N$ of $G$ and upon the interrelationship between the normalizers of these subgroups and the ideal structure of $R$. The proof offered here is combinatorial in nature, using the $\Delta$-methods, and is entirely self-contained. Furthermore, since the argument applies equally well to strongly $G$-graded rings, we have opted to work in this more general context.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 284 (1984), 707-727
- MSC: Primary 16A27; Secondary 16A03, 20C07
- DOI: https://doi.org/10.1090/S0002-9947-1984-0743740-2
- MathSciNet review: 743740