Derivations with engel conditions in prime and semiprime rings

DOI10.1007/S10587-011-0053-7zbMath1240.16048OpenAlexW2046227270MaRDI QIDQ2881236

Shuliang Huang

Publication date: 3 April 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196816

zbMATH Keywords

commutativity theoremsderivationssemiprime ringsEngel conditionsprime ringsGPIs

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) 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 (7)

A note on prime ring with generalized derivation ⋮ On prime and semiprime rings with generalized derivations and non-commutative Banach algebras ⋮ A note on automorphisms of lie ideals in prime rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on identities with derivations in prime rings ⋮ On Pair of Generalized Derivations in Rings

Cites Work

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• Differential identities of prime rings
• Center-like elements in prime rings
• Remarks on derivations on semiprime rings
• Prime nonassociative algebras
• Hypercentral derivations
• On derivations and commutativity in prime rings
• Strong commutativity preserving maps on Lie ideals.
• Prime rings satisfying a generalized polynomial identity
• Derivations in Prime Rings
• Centralizing Mappings of Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• An Engel Condition with Derivation
• On Commutativity and Strong Commutativity-Preserving Maps

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