Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings.

DOI10.1007/s13366-011-0051-9zbMath1242.16039OpenAlexW2077105860MaRDI QIDQ664212

Basudeb Dhara

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0051-9

zbMATH Keywords

homomorphismssemiprime ringsgeneralized derivationsadditive mapsanti-homomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25)

Related Items (15)

On Lie ideals with generalized \((\alpha, \alpha)\)-derivations in prime rings ⋮ Identities related to generalized derivation on ideal in prime rings ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ Some results involving \(P\)-derivations and prime ideals in rings ⋮ Generalized derivations acting on multilinear polynomials as Jordan homomorphisms ⋮ Jordan homoderivation behavior of generalized derivations in prime rings ⋮ On Lie ideals satisfying certain differential identities in prime rings ⋮ Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals. ⋮ Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings ⋮ Multiplicative (generalized)-derivation in semiprime rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(b\)-generalized derivations on prime rings

Cites Work

• Rings in which derivations satisfy certain algebraic conditions
• Remarks on derivations on semiprime rings
• Centralizing Mappings of Semiprime Rings
• On generalized derivations as homomorphisms and anti-homomorphisms
• A note on generalized derivations of prime rings

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