On some functional equations arising from \((m,n)\)-Jordan derivations and commutativity of prime rings.

DOI10.1216/RMJ-2012-42-4-1153zbMath1262.16044OpenAlexW1971772210MaRDI QIDQ691270

Joso Vukman, Maja Fošner

Publication date: 30 November 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1348752079

zbMATH Keywords

commutativity theoremssemiprime ringsprime ringsadditive mapsleft derivationsleft Jordan derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (7)

On Generalized (m,n)-Derivations and Generalized (m,n)-Jordan Derivations in Rings ⋮ Unnamed Item ⋮ Hyers-Ulam-Rassias stability of generalized module left \((m,n)\)-derivations ⋮ Permuting triderivations and permuting trihomomorphisms in Banach algebras ⋮ On centralizers of reflexive algebras ⋮ Bi-additive \(s\)-functional inequalities and quasi-multipliers on Banach algebras ⋮ A NOTE ON -JORDAN DERIVATIONS OF RINGS AND BANACH ALGEBRAS

Cites Work

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• On left Jordan derivations of rings and Banach algebras
• On additive isomorphisms of prime rings preserving polynomials
• Jordan Derivations on Semiprime Rings
• Derivations in Prime Rings
• On Left Derivations and Related Mappings
• On a Generalization of the Notion of Centralizing Mappings
• Jordan Derivations on Rings
• On functional identities andd-free subsets of rings, I
• Functional identities in rings and their applications
• Jordan Derivations of Prime Rings
• Some results on the center of a ring with polynomial identity
• Jordan derivations on prime rings
• On Herstein's Lie map conjectures. II

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