Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems

DOI10.2989/16073606.2020.1854887zbMath1496.16021OpenAlexW3125565059MaRDI QIDQ5070214

Shailesh Kumar Tiwari, Vincenzo De Filippis, Balchand Prajapati

Publication date: 11 April 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1854887

zbMATH Keywords

prime ringsgeneralized derivationsextended centroidUtumi quotient ringmultilinear polynomials

Mathematics Subject Classification ID

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

Related Items (2)

On \(b\)-generalized derivations in prime rings ⋮ X -generalized skew derivations behaving as weak Jordan right η -centralizers in prime rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A product of two generalized derivations on polynomials in prime rings.
• Generalized derivations with Engel condition on multilinear polynomials.
• An Engel condition with generalized derivations on multilinear polynomials.
• The additive subgroup generated by a polynomial
• Differential identities of prime rings
• Prime nonassociative algebras
• Two-sided annihilator condition with generalized derivations on multilinear polynomials
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Strong commutativity and Engel condition preserving maps in prime and semiprime rings
• Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials
• Derivations in Prime Rings
• On Some Generalized Identities with Derivations on Multilinear Polynomials
• Gpis Having Coefficients in Utumi Quotient Rings
• Nil and Power-Central Polynomials in Rings
• Differential identities of lie ideals or large right ideals in prime rings
• Generalized derivations of left faithful rings
• Derivations with Engel conditions on multilinear polynomials
• On a new proof of Litoff's theorem

This page was built for publication: Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems