Semiprime Rings with Hypercentral Derivations

DOI10.4153/CMB-1995-065-2zbMath0839.16033OpenAlexW2319524482MaRDI QIDQ4863007

Tsiu-Kwen Lee

Publication date: 15 February 1996

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

Full work available at URL: https://doi.org/10.4153/cmb-1995-065-2

zbMATH Keywords

derivationsemiprime ringcommutativity of prime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (25)

Generalized derivations of left faithful rings ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ Decompositions of Quotient Rings andm-Power Commuting Maps ⋮ Skew \(n\)-derivation on prime and semi prime rings ⋮ Additiven-commuting maps on semiprime rings ⋮ Derivations with values satisfying a right or left S_2n–polynomial ⋮ Strong commutativity preserving skew derivations in semiprime rings ⋮ Hypercentralizing generalized skew derivations on left ideals in prime rings. ⋮ Generalized derivations and commuting additive maps on multilinear polynomials in prime rings ⋮ Prime and semiprime rings with \(n\)-commuting generalized skew derivations ⋮ Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach algebras ⋮ On functional identities and commuting additive mappings ⋮ A Characterization of Generalized Derivations on Prime Rings ⋮ DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS ⋮ Engel conditions of generalized derivations on left ideals and Lie ideals in prime rings ⋮ Identities with inverses on matrix rings ⋮ Engel type identities with derivations for right ideals in prime rings. ⋮ Anti-automorphisms satisfying an Engel condition ⋮ Anti-endomorphisms and endomorphisms satisfying an Engel condition ⋮ A Generalization of Engel Conditions with Derivations in Rings ⋮ Identities with Engel conditions on derivations. ⋮ Generalized Derivations with Periodic Values ⋮ On functional identities in left ideals of prime rings ⋮ Unnamed Item ⋮ Differential identities of lie ideals or large right ideals in prime rings

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