A note on Posner's theorem with generalized derivations on Lie ideals.

DOI10.4171/RSMUP/122-5zbMath1183.16035OpenAlexW2024253216MaRDI QIDQ2655864

M. S. Tammam El-Sayiad, Vincenzo De Filippis

Publication date: 26 January 2010

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108776

zbMATH Keywords

prime ringsstandard identitiesLie idealsgeneralized derivationsextended centroidsUtumi quotient rings

Mathematics Subject Classification ID

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

Related Items

Generalized derivations on (semi-)prime rings and noncommutative Banach algebras., A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings, Generalized skew-derivations acting on Lie ideals with central values in prime rings, Engel type identities with generalized derivations in prime rings, A result on generalized derivations on right ideals of prime rings., Generalized Jordan derivations on semiprime rings and its applications in range inclusion problems., Additive maps on prime and semiprime rings with involution, Higher derivations and Posner's second theorem for semiprime rings

Cites Work

• Differential identities of prime rings
• PI-algebras. An introduction
• Prime nonassociative algebras
• Rings with generalized identities. III
• Prime rings satisfying a generalized polynomial identity
• Derivations in Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Generalized derivations of left faithful rings
• On a new proof of Litoff's theorem
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