On Some Generalized Identities with Derivations on Multilinear Polynomials

DOI10.1142/S1005386710000325zbMath1200.16053OpenAlexW2073585441MaRDI QIDQ3553728

Luisa Carini, Vincenzo De Filippis

Publication date: 21 April 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1702/S1005386710000325.html

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 (2)

Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems ⋮ An identity on generalized derivations involving multilinear polynomials in prime rings

Cites Work

• Unnamed Item
• Differential identities of prime rings
• Prime nonassociative algebras
• Differential identities, Lie ideals, and Posner's theorems
• Prime rings satisfying a generalized polynomial identity
• On Certain Subgroups of Semiprime Rings with Derivations
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• Derivations with Engel conditions on multilinear polynomials
• A NOTE ON DERIVATIONS, ADDITIVE SUBGROUPS, AND LIE IDEALS OF PRIME RINGS
• Posner's second theorem, multilinear polynomials and vanishing derivations

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