Annihilators of Skew Derivations with Engel Conditions on Lie Ideals

DOI10.1080/00927872.2014.990028zbMath1343.16037OpenAlexW2207587452MaRDI QIDQ2802232

Ming-Chu Chou, Cheng-Kai Liu

Publication date: 25 April 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.990028

zbMATH Keywords

Engel conditionsprime ringsskew derivationsLie idealsadditive maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (3)

Generalized derivations with Engel condition on Lie ideals of prime rings ⋮ Annihilators of skew derivations with Engel conditions on prime rings ⋮ An Engel condition with X-generalized skew derivations on Lie ideals

Cites Work

• Unnamed Item
• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. II
• Differential identities with automorphisms and antiautomorphisms. I
• Generalized identities with automorphisms
• Prime nonassociative algebras
• On the annihilator of commutators with derivation in prime rings
• Annihilators of derivations with Engel conditions on Lie ideals.
• An Annihilator Condition with Generalized Derivations on Multilinear Polynomials
• Annihilator Conditions of Derivations on Multilinear Polynomials
• A NOTE ON CERTAIN SUBGROUPS OF PRIME RINGS WITH DERIVATIONS
• Extended Jacobson Density Theorem for Rings With Skew Derivations
• Centralizing Automorphisms of Lie Ideals in Prime Rings
• Centralizing Automorphisms of Prime Rings
• An Engel condition with derivation for left ideals
• A note on certain subrings and ideals of prime rings
• Left Annihilators of Commutators with Derivation on Right Ideals
• DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS
• ON CERTAIN SUBGROUPS OF PRIME RINGS WITH AUTOMORPHISMS
• On Lie Automorphisms, Additive Subgroups, and Lie Ideals of Prime Rings
• On the Centralizers of Derivations with Engel Conditions
• Annihilating conditions on generalized derivations acting on multilinear polynomials
• Skew Derivations and Engel Conditions
• A Note on Lie Automorphisms, Subrings, and Lie Ideals of Prime Rings
• Extended Jacobson density theorem for rings with derivations and automorphisms

This page was built for publication: Annihilators of Skew Derivations with Engel Conditions on Lie Ideals