Prime length of crossed products
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- by Charles C. Welsh PDF
- Proc. Amer. Math. Soc. 106 (1989), 91-98 Request permission
Abstract:
In this paper we show that the prime length of a crossed product $R*G$, where $R$ is a right Noetherian ring and $G$ is a polycyclic-by-finite group, is bounded by the plinth length of $G$ and the prime length of $R$. We begin by considering prime ideals in group rings of finitely generated Abelian groups, and generalize a theorem of J. E. Roseblade. We then use the description of prime ideals in crossed products given by D. S. Passman to achieve the result.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 91-98
- MSC: Primary 16A27; Secondary 20C07
- DOI: https://doi.org/10.1090/S0002-9939-1989-0965248-1
- MathSciNet review: 965248