On Lie nilpotent group rings

DOI10.1016/0022-4049(85)90085-4zbMath0576.16009OpenAlexW1979270650WikidataQ115364453 ScholiaQ115364453MaRDI QIDQ1065113

Frank Levin, Sudarshan K. Sehgal

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90085-4

zbMATH Keywords

group ringLie nilpotentstrongly Lie nilpotentstrongly nilpotent

Mathematics Subject Classification ID

Group rings (16S34) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (15)

Unnamed Item ⋮ A note on Lie nilpotent group rings ⋮ PI-algebras generated by nilpotent elements of bounded index ⋮ Products of several commutators in a Lie nilpotent associative algebra ⋮ Some remarks on Lie dimension subgroups ⋮ Residually Lie nilpotent group rings ⋮ The derived length of Lie soluble group rings. I ⋮ Lie centrally metabelian group rings ⋮ Some products of commutators in an associative ring ⋮ Lie ideals in group rings ⋮ A note on Lie nilpotent group algebras ⋮ Group algebras of Lie nilpotency index 14 ⋮ Lie properties of the group algebra and the nilpotency class of the group of units ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8

Cites Work

• Unnamed Item
• On the Lie ideals of a ring
• The dimension subgroup problem

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