On invariant additive subgroups

DOI10.1007/BF02769465zbMath0618.16002OpenAlexW1991904604MaRDI QIDQ1089072

B. George

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02769465

zbMATH Keywords

centerautomorphismsLie idealstandard identityMartindale quotient ringadditive subgroups of prime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Localization and associative Noetherian rings (16P50)

Related Items (15)

An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ Generalized derivations with Engel condition on multilinear polynomials. ⋮ The additive subgroup generated by a polynomial ⋮ Invariant additive subgroups of a certain kind ⋮ Generalized derivations with annihilating and centralizing Engel conditions on Lie ideals. ⋮ Invariant additive subgroups in prime rings ⋮ Derivations with values satisfying a right or left S_2n–polynomial ⋮ Derivations modulo elementary operators. ⋮ Centralizers and Jordan triple derivations of semiprime rings ⋮ Derivations With Invertible Values on a Multilinear Polynomial ⋮ Generalized derivations and left multipliers on Lie ideals. ⋮ Engel conditions of generalized derivations on left ideals and Lie ideals in prime rings ⋮ AN IDENTITY WITH GENERALIZED DERIVATIONS ⋮ On prime rings with commuting nilpotent elements ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)

Cites Work

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• A theorem on invariant subrings
• Differential identities of prime rings
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• Invariant Submodules of Simple Rings
• Derivations in Prime Rings

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