A generalization of Posner's theorem on derivations in rings
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Publication:1985928
DOI10.1007/s13226-020-0394-8zbMath1436.16023OpenAlexW3011066635MaRDI QIDQ1985928
Mohammed Tamekkante, Fuad Ali Ahmed Almahdi, Abdellah Mamouni
Publication date: 7 April 2020
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-020-0394-8
Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)
Related Items (12)
\( \mathscr{T} \)-commuting generalized derivations on ideals and semi-prime ideal. II ⋮ Structure of a quotient ring R/P and its relation with generalized derivations of R ⋮ Some results involving \(P\)-derivations and prime ideals in rings ⋮ Quotient rings satisfying some identities ⋮ On generalized derivations involving prime ideals with involution ⋮ Results on various derivations and Posner’s theorem in prime ideals of rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On derivations involving prime ideals and commutativity in rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Structure of a quotient ring \(R/P\) with generalized derivations acting on the prime ideal P and some applications
Cites Work
- A note on automorphisms of prime and semiprime rings.
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- Primitivity in differential operator rings
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- Derivations in Prime Rings
- Invariance of Minimal Prime Ideals Under Derivations
- Commuting and Centralizing Mappings in Prime Rings
- Orthogonal completeness and algebraic systems
- Automorphic-Differential Identities in Rings
- On additive maps of prime rings satisfying the engel condition
- Centralizing Mappings of Semiprime Rings
- On additive maps of prime rings
- On derivations and commutativity in semiprime rings
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