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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Primitive ideals in group rings of polycyclic groups


Author: Robert L. Snider
Journal: Proc. Amer. Math. Soc. 57 (1976), 8-10
MSC: Primary 16A26
DOI: https://doi.org/10.1090/S0002-9939-1976-0414622-1
MathSciNet review: 0414622
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Abstract: If $ F$ is a field which is not algebraic over a finite field and $ G$ is a polycyclic group, then all primitive ideals of the group ring $ F[G]$ are maximal if and only if $ G$ is nilpotent-by-finite.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0414622-1
Article copyright: © Copyright 1976 American Mathematical Society