Group rings whose augmentation ideals are residually Lie solvable

DOI10.3792/pjaa.62.264zbMath0618.16008OpenAlexW2088787704WikidataQ115219948 ScholiaQ115219948MaRDI QIDQ1089073

Tadashi Mitsuda

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.264

zbMATH Keywords

Lie productsintegral group ringLie nilpotentaugmentation idealLie solvable augmentation idealsresidually Lie solvable

Mathematics Subject Classification ID

Group rings (16S34) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Modules, bimodules and ideals in associative algebras (16Dxx)

Cites Work

• Some remarks on the unit groups of integral group rings
• Integral group rings with residually nilpotent unit groups
• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
• Group rings and their augmentation ideals
• Polynomial Ideals in Group Rings
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