An Annihilator Condition with Generalized Derivations on Multilinear Polynomials

DOI10.1080/00927872.2013.804927zbMath1304.16044OpenAlexW1964090543MaRDI QIDQ2876267

Luisa Carini, Giovanni Scudo

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.804927

zbMATH Keywords

prime ringsgeneralized derivationsdifferential identities

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Related Items (4)

On X-generalized skew derivations and their applications ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Annihilators of Skew Derivations with Engel Conditions on Lie Ideals ⋮ Derivations vanishing on commutators with generalized derivation of order 2 in prime rings

Cites Work

• Unnamed Item
• A product of two generalized derivations on polynomials in prime rings.
• On \(n\)-commuting and \(n\)-skew-commuting maps with generalized derivations in prime and semiprime rings.
• An Engel condition with generalized derivations on multilinear polynomials.
• Differential identities of prime rings
• Prime nonassociative algebras
• Prime rings satisfying a generalized polynomial identity
• Generalized derivations of left faithful rings
• Derivations with Engel conditions on multilinear polynomials
• Annihilating conditions on generalized derivations acting on multilinear polynomials

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