On Jordan ideals and left \((\theta,\theta)\)-derivations in prime rings.

DOI10.1155/S0161171204309075zbMath1069.16041MaRDI QIDQ1777661

S. M. A. Zaidi, Mohammad Ashraf, Shakir Ali

Publication date: 25 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51552

zbMATH Keywords

endomorphismsautomorphismshomomorphismsprime ringscentersadditive mappingsJordan idealsJordan left derivationsantihomomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) 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 (15)

Semiderivations satisfying certain algebraic identities on Jordan ideals. ⋮ Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ⋮ On Lie ideals and generalized Jordan left derivations of prime rings. ⋮ Commutativity of $$*$$-Prime Rings with Generalized Derivations on $$*$$-Jordan Ideals ⋮ Classification of additive mappings on certain rings and algebras ⋮ On Jordan ideals with left derivations in 3-prime near-rings ⋮ Characterization of additive mappings on semiprime rings ⋮ Unnamed Item ⋮ Posner's second theorem for Jordan ideals in rings with involution. ⋮ Commutativity of MA-semirings with involution through generalized derivations ⋮ Some commutativity criteria for prime rings with differential identities on Jordan ideals ⋮ Derivations satisfying certain algebraic identities on Jordan ideals. ⋮ On generalized left derivations in rings and Banach algebras. ⋮ Additive mappings satisfying algebraic conditions in rings. ⋮ A note on derivations and Jordan ideals of prime rings

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