ON n-CENTRALIZING GENERALIZED DERIVATIONS IN SEMIPRIME RINGS WITH APPLICATIONS TO C*-ALGEBRAS

DOI10.1142/S0219498812501113zbMath1261.16041OpenAlexW2041213294MaRDI QIDQ3144378

Shakir Ali, Basudeb Dhara

Publication date: 7 December 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498812501113

zbMATH Keywords

semiprime ringsgeneralized derivationscentralizing mapscommuting maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Related Items (19)

An Engel condition with skew derivations for one-sided ideals ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Generalized derivations preserving quasinilpotent elements in Banach algebras ⋮ Generalized skew-derivations annihilating and centralizing on multilinear polynomials in prime rings ⋮ Additiven-commuting maps on semiprime rings ⋮ An Engel condition withb-generalized derivations ⋮ Some results concerning \(n\)-\(\sigma\)-centralizing mappings in semiprime rings. ⋮ An Engel condition with two generalized derivations in prime rings ⋮ Unnamed Item ⋮ Additive maps on prime and semiprime rings with involution ⋮ Power commuting additive maps on invertible or singular matrices ⋮ Unnamed Item ⋮ Higher derivations and Posner's second theorem for semiprime rings ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Linear derivations on Banach *-algebras ⋮ N-commuting mappings on (semi)-prime rings with applications ⋮ An Engel condition with b-generalized derivations for Lie ideals ⋮ Unnamed Item ⋮ On ideals of prime rings involving $n$-skew commuting additive mappings with applications

Cites Work

• Unnamed Item
• On \(n\)-commuting and \(n\)-skew-commuting maps with generalized derivations in prime and semiprime rings.
• Centralizing mappings and derivations in prime rings
• Centralizing Automorphisms of Lie Ideals in Prime Rings
• Centralizing Automorphisms of Prime Rings
• Generalized derivations of left faithful rings
• An Engel condition with derivation for left ideals
• Generalized derivations in rings^*
• Centralizing Mappings of Semiprime Rings
• On derivations and commutativity in semiprime rings

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