SOME COMMUTATIVITY THEOREMS CONCERNING ADDITIVE MAPPINGS AND DERIVATIONS ON SEMIPRIME RINGS

DOI10.1142/9789814397681_0012zbMath1300.16043OpenAlexW2489202366MaRDI QIDQ3189729

Basudeb Dhara, Ajda Fošner, Shakir Ali

Publication date: 12 September 2014

Published in: Contemporary Ring Theory 2011 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814397681_0012

zbMATH Keywords

commutativity theoremssemiprime ringsprime ringsgeneralized derivationsadditive mapscentral ideals

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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (8)

A note on multiplicative (generalized) derivations with annihilator conditions. ⋮ On Lie ideals with generalized \((\alpha, \alpha)\)-derivations in prime rings ⋮ On multiplicative (generalized)-derivations in prime and semiprime rings. ⋮ Generalized derivations on Lie ideals in prime rings ⋮ On Lie ideals with multiplicative (generalized)-derivations in prime and semiprime rings. ⋮ Unnamed Item ⋮ COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS ⋮ Generalized multiplicative derivations in inverse semirings

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