On Prime and Semiprime Rings with Derivations

DOI10.1142/S1005386706000320zbMath1096.16014OpenAlexW1968220041MaRDI QIDQ5483333

Nurcan Argaç

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s1005386706000320

zbMATH Keywords

derivationssemiprime ringsprime ringscommuting mappingscentralizing mappingsgeneralized biderivations

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) Derivations, actions of Lie algebras (16W25)

Related Items (19)

ON COMMUTATIVITY OF NEAR-RINGS WITH GENERALIZED OUTER DERIVATIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the iterations of generalized bi-derivation on prime ring ⋮ On $$\varGamma $$ -rings with Permuting Skew Tri-derivations ⋮ Unnamed Item ⋮ Lie ideals and generalized \((\alpha,\beta)\)-derivations of \(*\)-prime rings. ⋮ \(b\)-generalized \((\alpha,\beta)\)-derivations and \(b\)-generalized \((\alpha,\beta)\)-biderivations of prime rings ⋮ On $^*$-differential identities in prime rings with involution ⋮ Prime and semiprime rings with symmetric skew 3-derivations. ⋮ Linear and multilinear functional identities in a prime ring with applications ⋮ Identities with generalized derivations in semiprime rings ⋮ On generalized \(\alpha\)-biderivations. ⋮ On rings and algebras with derivations ⋮ COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS ⋮ Derivations satisfying certain algebraic identities on Lie ideals ⋮ On Lie ideals of \(*\)-prime rings with generalized derivations. ⋮ \(b\)-generalized derivations on prime rings

Cites Work

• Unnamed Item
• Two results concerning symmetric bi-derivations on prime rings
• Remarks on derivations on semiprime rings
• Centralizing maps in prime rings with involution
• On derivations and commutativity in prime rings
• Centralizing mappings and derivations in prime rings
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Centralizing Mappings of Prime Rings
• On the distance of the composition of two derivations to the generalized derivations
• Differential identities of lie ideals or large right ideals in prime rings
• Generalized derivations in rings^*
• ON THE COMMUTATIVITY OF PRIME RINGS WITH DERIVATION
• Centralizing Mappings of Semiprime Rings

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