A nil implies nilpotent theorem for left ideals

DOI10.1016/0021-8693(90)90289-ZzbMath0722.16011MaRDI QIDQ755857

J. Toby Stafford

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

left idealsintegral group ringpolycyclic-by-finite groupleft Noetherian ringArtinian left R-modulefully bounded Noetherian ringHerstein's conjecture

Mathematics Subject Classification ID

Group rings (16S34) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

A nil-implies-nilpotent result in linearly compact rings ⋮ Rings with krull dimension one

Cites Work

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• A theorem on left Noetherian rings
• Modules Over Polycyclic Groups

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