Commutativity and Skew-commutativity Conditions with Generalized Derivations

DOI10.1142/S1005386710000787zbMath1214.16035MaRDI QIDQ3057656

Nadeem ur Rehman, Vincenzo De Filippis

Publication date: 16 November 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/17spec01/S1005386710000787.html

zbMATH Keywords

prime ringsLie idealsgeneralized derivationscentral valued 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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (3)

A Note on the Commutativity of Prime Near-rings ⋮ Additive maps on prime and semiprime rings with involution ⋮ On generalized derivations in prime ring with skew-commutativity conditions.

Cites Work

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• The additive subgroup generated by a polynomial
• Differential identities of prime rings
• A note on \(k\)-th commutators in an associative ring
• Prime rings satisfying a generalized polynomial identity
• On a Result of Levitzki
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• Derivations with Engel conditions on multilinear polynomials

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