Primitive ideals in group rings of polycyclic groups

Robert L. Snider

doi:10.1090/s0002-9939-1976-0414622-1

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Primitive ideals in group rings of polycyclic groups

Robert L. Snider

Year: 1976 Journal: Proceedings of the American Mathematical Society Vol: 57 (1)Pages: 8-10 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-1976-0414622-1

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Abstract

If F F is a field which is not algebraic over a finite field and G G is a polycyclic group, then all primitive ideals of the group ring F [ G ] F[G] are maximal if and only if G G is nilpotent-by-finite.

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Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Primitive ideals in group rings of polycyclic groups

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