Identities with generalized derivations on multilinear polynomials in prime rings

DOI10.1007/s13370-016-0415-2zbMath1379.16015OpenAlexW2300122789MaRDI QIDQ680246

Krishna Gopal Pradhan, Basudeb Dhara, Sukhendu Kar

Publication date: 22 January 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-016-0415-2

zbMATH Keywords

derivationgeneralized derivationextended centroidprime ringutumi quotient ring

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 (1)

Pair of generalized derivations acting on multilinear polynomials in prime rings

Cites Work

• Unnamed Item
• Unnamed Item
• A product of two generalized derivations on polynomials in prime rings.
• The additive subgroup generated by a polynomial
• Differential identities of prime rings
• Lie ideals and derivations of prime rings
• Prime nonassociative algebras
• Derivations cocentralizing multilinear polynomials
• Identities with generalized derivations in prime rings.
• Differential identities, Lie ideals, and Posner's theorems
• Centralizing mappings and derivations in prime rings
• A quadratic differential identity with generalized derivations on multilinear polynomials in prime rings.
• Prime rings satisfying a generalized polynomial identity
• Actions of Generalized Derivations on Multilinear Polynomials in Prime Rings
• Derivations in Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Nil and Power-Central Polynomials in Rings
• An Engel Condition with Derivation
• Generalized derivations of left faithful rings
• Derivations With Invertible Values on a Multilinear Polynomial

This page was built for publication: Identities with generalized derivations on multilinear polynomials in prime rings