Semilocal rings with \(n\)-Engel multiplicative group.

DOI10.1007/s00013-004-1113-0zbMath1070.16022OpenAlexW2079621399MaRDI QIDQ1764450

Bernhard Amberg, Yaroslav P. Sysak

Publication date: 25 February 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1113-0

zbMATH Keywords

Jacobson radicalEngel groupslocal ringsLevitzki radicalsemilocal ringsEngel rings\(n\)-Engel groups\(n\)-Engel ringsLie nilpotent idealslocally Lie nilpotent ringsmultiplicative groups of rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Noncommutative local and semilocal rings, perfect rings (16L30) Semigroup rings, multiplicative semigroups of rings (20M25) Commutator calculus (20F12) Engel conditions (20F45) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

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