On the Associated Lie Ring and the Adjoint Group of a Radical Ring

DOI10.4153/CMB-1984-031-4zbMath0543.16018WikidataQ115214344 ScholiaQ115214344MaRDI QIDQ3331366

Hartmut Laue

Publication date: 1984

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

upper central seriesnil algebranilpotent Lie ringassociated Lie ring of a radical ringgroup of quasi-regular elements

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

Upper Central Chains in Rings ⋮ Rings related to automorphism groups ⋮ Invariants of tile sylowp-subgroup of the unit group of a commutative group ring of characteristicp^∗ ⋮ On the centers of a radical ring ⋮ The nilpotency class of the unit group of a modular group algebra. II ⋮ On the semigroup nilpotency and the Lie nilpotency of associative algebras ⋮ Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups ⋮ Relationships between the canonical ascending and descending central series of ideals of an associative algebra ⋮ The nilpotency class of the unit group of a modular group algebra. III

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