On generalized left derivations in rings and Banach algebras.

DOI10.1007/s00010-011-0070-5zbMath1223.16016OpenAlexW1983761836MaRDI QIDQ543288

Shakir Ali

Publication date: 17 June 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-011-0070-5

zbMATH Keywords

semiprime ringsBanach algebrasprime ringsgeneralized derivationsgeneralized Jordan left derivationsadditive maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Related Items

Unnamed Item, Generalized (Jordan) left derivations on rings associated with an element of rings, On Lie ideals and generalized Jordan left derivations of prime rings., Classification of additive mappings on certain rings and algebras, Identities on additive mappings in semiprime rings, Characterization of additive mappings on semiprime rings, Generalized left derivations acting as homomorphisms and anti-homomorphisms on Lie ideal of rings., Asymptotic aspect of derivations in Banach algebras, Unnamed Item, Some commutativity theorems on Banach algebras, Additive mappings satisfying algebraic conditions in rings., Additive mappings act as a generalized left \((\alpha , \beta )\)-derivation in rings, Some conditions under which left derivations are zero, Jordan generalized left derivations in incline algebras

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