Generalized skew derivations implemented by elementary operators.

DOI10.1007/s10468-013-9429-8zbMath1301.16049OpenAlexW2122608004MaRDI QIDQ742948

Ilja Gogić, Daniel Eremita, Dijana Ilišević

Publication date: 19 September 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-013-9429-8

zbMATH Keywords

epimorphismssemiprime ringselementary operatorsadditive mapsgeneralized skew derivationsmaximal right rings of quotients

Mathematics Subject Classification ID

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

Related Items (5)

\(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ An Engel condition withb-generalized derivations ⋮ The cb-norm approximation of generalized skew derivations by elementary operators ⋮ An Engel condition with b-generalized derivations for Lie ideals

Cites Work

• Prime nonassociative algebras
• Approximating derivations on ideals of \(C^*\)-algebras
• Generalized skew derivations characterized by acting on zero products.
• On the distance of the composition of two derivations to the generalized derivations
• Derivations which are inner as completely bounded maps
• On derivations and elementary operators on C*-algebras
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