Identities with Product of Generalized Skew Derivations on Multilinear Polynomials

DOI10.1080/00927872.2015.1027354zbMath1355.16016OpenAlexW2555724094MaRDI QIDQ5740577

Luisa Carini, Giovanni Scudo, Vincenzo De Filippis

Publication date: 27 July 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027354

zbMATH Keywords

multilinear polynomialprime ringgeneralized skew derivation

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 (15)

Identities with generalized derivations in prime rings ⋮ Identities involving generalized derivations in prime rings ⋮ b-Generalized Skew Derivations on Multilinear Polynomials ⋮ On b-generalized skew derivations having centralizing commutator in prime rings ⋮ Generalized skew derivations and generalization of commuting maps on prime rings ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ Generalized derivations acting on multilinear polynomials as Jordan homomorphisms ⋮ Central values involving generalized skew derivations and polynomials in prime rings ⋮ Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Product and commuting generalized derivations in prime rings ⋮ Generalized derivations with multilinear polynomials in prime rings ⋮ A quadratic differential identity with skew derivations ⋮ A note on generalized derivations with multilinear polynomials in prime rings ⋮ Identities with generalized derivations and multilinear polynomials

Cites Work

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• A product of two generalized derivations on polynomials in prime rings.
• Differential identities with automorphisms and antiautomorphisms. II
• Differential identities with automorphisms and antiautomorphisms. I
• Generalized skew derivations characterized by acting on zero products.
• Identities with skew derivations
• Prime rings satisfying a generalized polynomial identity
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Generalized Skew Derivations with Power Central Values on Lie Ideals
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• On a new proof of Litoff's theorem
• Generalized skew derivations with nilpotent values on Lie ideals.

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