Lie ideals in group rings
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Publication:581623
DOI10.1016/0022-4049(90)90056-NzbMath0689.16005OpenAlexW2078168966WikidataQ115364437 ScholiaQ115364437MaRDI QIDQ581623
J. B. Srivastava, Rajendra K. Sharma
Publication date: 1990
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(90)90056-n
Group rings (16S34) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)
Related Items (24)
Identities in group rings, enveloping algebras and Poisson algebras ⋮ A note on Lie nilpotent group rings ⋮ PI-algebras generated by nilpotent elements of bounded index ⋮ Lie nilpotency indices of modular group algebras II ⋮ Modular group algebras of Lie nilpotency index 8p − 6 ⋮ Group algebras of Lie nilpotency index 12 and 13 ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Products of several commutators in a Lie nilpotent associative algebra ⋮ Product theorems for alternative algebras and some of their applications ⋮ Unnamed Item ⋮ 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 ⋮ On Lie nilpotent modular group algebras ⋮ Restricted lie dimension subgroups ⋮ Relatively free associative Lie nilpotent algebras of rank 3 ⋮ 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 ⋮ Some finitely generated associative algebras with a Lie nilpotency identity ⋮ On the lower Lie nilpotency index of a group algebra ⋮ Strongly Lie nilpotent group algebras of index at most 8 ⋮ The nilpotency class of the unit group of a modular group algebra. III
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