A note on generalized derivations with multilinear polynomials in prime rings

DOI10.1080/00927872.2019.1705473zbMath1441.16043OpenAlexW2998247706MaRDI QIDQ5220675

Shailesh Kumar Tiwari, Sanjay Kumar Singh

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1705473

zbMATH Keywords

derivationgeneralized derivationextended centroidprime ringUtumi quotient ring

Mathematics Subject Classification ID

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

Related Items

Vanishing derivations on some subsets in prime rings involving generalized derivations

Cites Work

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• Generalized derivations acting on multilinear polynomials in prime rings and Banach algebras.
• The additive subgroup generated by a polynomial
• Differential identities of prime rings
• Lie ideals and derivations of prime rings
• Prime nonassociative algebras
• Centralizers of generalized derivations on multilinear polynomials in prime rings.
• Identities with generalized derivations and multilinear polynomials
• Prime rings satisfying a generalized polynomial identity
• Vanishing Derivations and Co-Centralizing Generalized Derivations on Multilinear Polynomials in Prime Rings
• Prime Rings with Generalized Derivations on Right Ideals
• Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials
• 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
• On Identities with Composition of Generalized Derivations
• Co-commutators with generalized derivations in prime and semiprime rings
• On a new proof of Litoff's theorem
• Identities with Product of Generalized Skew Derivations on Multilinear Polynomials