Identities with generalized derivations in semiprime rings

DOI10.1515/DEMA-2013-0471zbMath1290.16041OpenAlexW23600420MaRDI QIDQ5747136

Basudeb Dhara, Atanu Pattanayak, Shakir Ali

Publication date: 11 February 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0471

zbMATH Keywords

commutativity theoremssemiprime ringsprime ringscommutator constraintsgeneralized 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 (6)

On prime and semiprime rings with generalized derivations and non-commutative Banach algebras ⋮ On Lie ideals satisfying certain differential identities in prime rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on multiplicative (generalized)-derivations and left ideals in semiprime rings ⋮ On Pair of Generalized Derivations in Rings

Cites Work

• Unnamed Item
• On derivations in semiprime rings.
• On generalized derivations of prime rings.
• Generalized derivations of prime rings.
• Remarks on derivations on semiprime rings
• Commutativity results for semiprime rings with derivations
• Centralizing mappings and derivations in prime rings
• On Semiprime Rings with Generalized Derivations
• Identities with derivations in rings
• ON LEFT α-MULTIPLIERS AND COMMUTATIVITY OF SEMIPRIME RINGS
• Derivations in Prime Rings
• A Note on Derivations
• On Commutativity and Strong Commutativity-Preserving Maps
• An Engel condition with derivation for left ideals
• Centralizing Mappings of Semiprime Rings
• On Prime and Semiprime Rings with Derivations

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