Derivations satisfying certain algebraic identities on Jordan ideals.

DOI10.1007/s40065-012-0039-9zbMath1273.16038OpenAlexW2064722134WikidataQ59288418 ScholiaQ59288418MaRDI QIDQ692440

Lahcen Oukhtite, Abdellah Mamouni

Publication date: 6 December 2012

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-012-0039-9

zbMATH Keywords

commutativity theoremsderivationsrings with involution*-prime rings*-Jordan ideals

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 (8)

On differential identities of Jordan ideals of semirings ⋮ Semiderivations satisfying certain algebraic identities on Jordan ideals. ⋮ Differential identities on prime rings with involution ⋮ Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ⋮ On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras ⋮ Commutativity theorems in rings with involution ⋮ On ∗-semiderivations and ∗-generalized semiderivations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Posner's second theorem for Jordan ideals in rings with involution.
• Remarks on derivations on semiprime rings
• On Jordan ideals and left \((\theta,\theta)\)-derivations in prime rings.
• On derivations and commutativity in prime rings
• Lie and Jordan Structure in Prime Rings with Derivations
• On commutativity of sigma-prime rings
• Generalized derivations centralizing on Jordanideals of rings with involution
• On derivations in \sigma-prime rings

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