Associative rings whose adjoint semigroup is locally nilpotent

DOI10.1007/PL00000453zbMath0986.16007OpenAlexW2080619028MaRDI QIDQ5943640

Bernhard Amberg, Yaroslav P. Sysak

Publication date: 20 March 2002

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

Full work available at URL: https://doi.org/10.1007/pl00000453

zbMATH Keywords

commutativity theoremsadjoint semigroupslocally nilpotent groupsadjoint groupsfinitely generated Lie-nilpotent ringsLevitzki radicalradical ringsresidually finite rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Semigroup rings, multiplicative semigroups of rings (20M25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Engel conditions (20F45) Jacobson radical, quasimultiplication (16N20)

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