Differential commutator identities.

DOI10.1016/j.laa.2010.05.005zbMath1203.16029OpenAlexW2094360565MaRDI QIDQ989062

Charles Lanski

Publication date: 27 August 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.05.005

zbMATH Keywords

derivationsprime ringsLie idealsdifferential identitiesEngel polynomials

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (2)

A quadratic generalized differential identity on Lie ideals of Prime Rings ⋮ Power-central values and Engel conditions in prime rings with generalized skew derivations

Cites Work

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• Differential identities of semiprime rings
• Prime nonassociative algebras
• Differential identities, Lie ideals, and Posner's theorems
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• A Note on Gpis and Their Coefficients
• On Derivations in Prime Rings and a Question of Herstein
• Derivations nilpotent on subsets of prime rings
• A Note on Derivations
• An Engel Condition with Derivation
• Some results on the center of a ring with polynomial identity

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