Product and commuting generalized derivations in prime rings

DOI10.1007/S12215-022-00739-6OpenAlexW4226290077WikidataQ114221081 ScholiaQ114221081MaRDI QIDQ2695250

Yanyan Li

Publication date: 30 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00739-6

zbMATH Keywords

multilinear polynomialgeneralized derivationextended centroidprime ringUtumi quotient ring

Mathematics Subject Classification ID

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

Cites Work

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• Differential identities of prime rings
• Prime nonassociative algebras
• Derivations cocentralizing polynomials
• Centralizing mappings and derivations in prime rings
• Prime rings satisfying a generalized polynomial identity
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• Identities with Product of Generalized Derivations of Prime Rings
• Actions of Generalized Derivations on Multilinear Polynomials in Prime Rings
• Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials
• Derivations in Prime Rings
• On the distance of the composition of two derivations to the generalized derivations
• Gpis Having Coefficients in Utumi Quotient Rings
• Nil and Power-Central Polynomials in Rings
• Generalized derivations of left faithful rings
• Generalized derivations acting on multilinear polynomials in prime rings
• On a new proof of Litoff's theorem
• Identities with Product of Generalized Skew Derivations on Multilinear Polynomials

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