Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach algebras

DOI10.1007/s13370-016-0418-zzbMath1379.16031OpenAlexW2319527449MaRDI QIDQ680251

Basudeb Dhara, Asma Ali, Deepankar Das

Publication date: 22 January 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-016-0418-z

zbMATH Keywords

Banach algebraderivationgeneralized derivationextended centroidprime ringLie idealutumi quotient ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Topological and ordered rings and modules (16W80)

Related Items

Unnamed Item, Engel conditions of generalized derivations on left ideals and Lie ideals in prime rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derivations mapping into the radical
• Derivations on commutative normed algebras
• An Engel condition with generalized derivations on Lie ideals.
• Engel type identities with derivations for right ideals in prime rings.
• Differential identities of prime rings
• Lie ideals and derivations of prime rings
• Prime nonassociative algebras
• Power central values of derivations on multilinear polynomials.
• On the derivations of semiprime rings and noncommutative Banach algebras
• The image of a derivation is contained in the radical
• A result on derivations with Engel condition in prime rings
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• JORDAN DERIVATIONS ON PRIME RINGS AND THEIR APPLICATIONS IN BANACH ALGEBRAS, I
• DERIVATIONS WITH ENGEL CONDITIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS
• Derivations in Prime Rings
• ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS
• Commuting and Centralizing Mappings in Prime Rings
• On Left Derivations and Related Mappings
• Generalized Derivations with Engel Conditions on One-Sided Ideals
• Gpis Having Coefficients in Utumi Quotient Rings
• On Derivations in Prime Rings and Banach Algebras
• An Engel Condition with Derivation
• Generalized derivations of left faithful rings
• An Engel condition with derivation for left ideals
• Semiprime Rings with Hypercentral Derivations
• Continuous Derivations on Banach Algebras
• Continuity of Derivations and a Problem of Kaplansky
• DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS