On commutators and derivations in rings.

DOI10.1016/j.jalgebra.2003.10.021zbMath1068.16048OpenAlexW2020579744MaRDI QIDQ1882995

Tsai-Lien Wong, Daniel Eremita, Matej Brešar

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.021

zbMATH Keywords

commutativity theoremsderivationsidealscommutator constraintsadditive mapsproducts of higher commutators

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Ideals in associative algebras (16D25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

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Cites Work

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• Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators
• Differential identities of prime rings
• On the iterates of derivations of prime rings
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Derivations in Prime Rings
• Nilpotency of Derivatives on an Ideal
• On the distance of the composition of two derivations to the generalized derivations
• Nilpotency of Derivations
• Derivations nilpotent on subsets of prime rings
• Nilpotent Inner Derivations of the Skew Elements of Prime Rings With Involution
• Generalized derivations of left faithful rings
• Elementary operators on prime C*-algebras II
• Generalized derivations in rings^*
• The Lower Socle and Finite Rank Elementary Operators
• Semiprime Algebras with Finiteness Conditions
• Sui Commutatori Degli Anelli Semplici