On Jordan left derivations of Lie ideals in prime rings

DOI10.1007/S100120100000zbMath1006.16043OpenAlexW4244715018MaRDI QIDQ699897

Shakir Ali, Mohammad Ashraf, Nadeem ur Rehman

Publication date: 25 September 2002

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s100120100000

zbMATH Keywords

commutativity theoremsprime ringsLie idealsJordan left derivationstorsion-free rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (10)

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. ⋮ Certain additive maps on \(m\)-power closed Lie ideals. ⋮ A characterization of generalized Jordan derivations on Banach algebras ⋮ Certain Additive Maps on (m+n+1)-Power Closed Lie Ideals ⋮ Generalized Jordan left derivations in rings with involution ⋮ On generalized left derivations in rings and Banach algebras. ⋮ On Jordan *-mappings in rings with involution. ⋮ Additive mappings satisfying algebraic conditions in rings.

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