Generalized Jordan derivations on Lie ideals associate with Hochschild 2-cocycles of rings.

DOI10.1007/s12215-011-0069-8zbMath1248.16031OpenAlexW2089767902MaRDI QIDQ658950

Motoshi Hongan, Nadeem ur Rehman

Publication date: 9 February 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-011-0069-8

zbMATH Keywords

prime ringsfunctional identitiesgeneralized derivationsadditive mapsgeneralized Jordan derivations2-cocycles

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (8)

Lie ideals and Jordan triple (α,β)-derivations in rings ⋮ On Lie ideals and generalized Jordan left derivations of prime rings. ⋮ On Lie ideals satisfying certain differential identities in prime rings ⋮ Lie ideals and Jordan triple derivations in rings. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Derivations satisfying certain algebraic identities on Lie ideals ⋮ Generalized Jordan triple derivations associated with Hochschild 2-cocycles of rings

Cites Work

• Jordan mappings of semiprime rings
• Lie ideals and derivations of prime rings
• Lie Ideals and Jordan Derivations of Prime Rings
• On the distance of the composition of two derivations to the generalized derivations
• Jordan derivations on prime rings
• Unnamed Item
• Unnamed Item
• Unnamed Item

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