Additive maps having a generalized derivation expansion

DOI10.1142/S0219498815500486zbMath1323.16030OpenAlexW2119438923WikidataQ57787517 ScholiaQ57787517MaRDI QIDQ4983039

Tsiu-Kwen Lee

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500486

zbMATH Keywords

prime ringsgeneralized derivationselementary operatorsadditive mapsgeneralized derivation expansions

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (6)

A result concerning b-generalized skew derivations on multilinear polynomials in prime rings ⋮ \(X\)-generalized skew derivations with annihilating and centralizing conditions in prime rings ⋮ Generalized derivations preserving quasinilpotent elements in Banach algebras ⋮ An Engel condition withb-generalized derivations ⋮ Unnamed Item ⋮ An Engel condition with b-generalized derivations for Lie ideals

Cites Work

• On Lie and associative algebras containing inner derivations
• Derivations modulo elementary operators.
• On generalized functional identities on prime rings
• Generalized skew derivations characterized by acting on zero products.
• Prime rings satisfying a generalized polynomial identity
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• Note on derivations of semiprime rings
• b-GENERALIZED DERIVATIONS OF SEMIPRIME RINGS HAVING NILPOTENT VALUES

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