Power values of generalized derivations with annihilator conditions in prime rings.

DOI10.1007/S00009-012-0185-5zbMath1270.16034OpenAlexW3017510968MaRDI QIDQ1943566

Basudeb Dhara, Giovanni Scudo, Vincenzo De Filippis

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0185-5

zbMATH Keywords

prime ringsLie idealsgeneralized derivationsadditive maps

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 (4)

A result on generalized skew derivations on Lie ideals in prime rings ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Generalized derivations with annihilator conditions in prime rings ⋮ Annihilator of power values of generalized derivations in prime rings

Cites Work

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• Differential identities of prime rings
• Prime nonassociative algebras
• Differential identities, Lie ideals, and Posner's theorems
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• ANNIHILATORS OF POWER VALUES OF GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS
• NOTES ON GENERALIZED DERIVATIONS ON LIE IDEALS IN PRIME RINGS
• Gpis Having Coefficients in Utumi Quotient Rings
• Generalized derivations of left faithful rings
• Power Values of Derivations with Annihilator Conditions on Lie Ideals in Prime Rings
• Sums of Distinct Divisors and Sums of Distinct Units

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