Derivations as homomorphisms or anti-homomorphisms on Lie ideals.

DOI10.1007/S10114-005-0840-XzbMath1124.16031OpenAlexW2090243504MaRDI QIDQ2644343

Hong You, Yu Wang

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0840-x

zbMATH Keywords

derivationshomomorphismsprime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (11)

Derivations as a generalization of Jordan homomorphisms on Lie ideals and non-commutative Banach algebras. ⋮ Compositions, derivations and polynomials. ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ Jordan homoderivation behavior of generalized derivations in prime rings ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals. ⋮ Generalized skew-derivations and generalization of homomorphism maps in prime rings ⋮ Generalized derivations as Jordan homomorphisms on Lie ideals and right ideals. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(b\)-generalized derivations on prime rings

Cites Work

• Rings in which derivations satisfy certain algebraic conditions
• Differential identities of prime rings
• Lie ideals and derivations of prime rings
• Prime nonassociative algebras
• On Lie ideals with derivations as homomorphisms and anti-homomorphisms.
• Prime rings satisfying a generalized polynomial identity
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