On the derivations of semiprime rings and noncommutative Banach algebras

DOI10.1007/s101149900020zbMath0973.16020OpenAlexW2065591094MaRDI QIDQ1569952

Byung-Do Kim

Publication date: 25 November 2001

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101149900020

zbMATH Keywords

derivationsJacobson radicalsemiprime ringsprime ringscontinuous linear Jordan derivationsnoncommutative Banach algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25) Topological algebras, normed rings and algebras, Banach algebras (46H99)

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Cites Work

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• Derivations on commutative normed algebras
• Derivations of noncommutative Banach algebras. II
• The image of a derivation is contained in the radical
• Jordan Derivations on Semiprime Rings
• Semiprime Rings with Nilpotent Derivatives
• On Derivations in Prime Rings and Banach Algebras
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Continuity of Derivations and a Problem of Kaplansky