Reverse Derivations Mapping into the Radical

DOI10.1134/S1995080223120144MaRDI QIDQ6497290

Amin Hosseini

Publication date: 6 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Associative rings and algebras with additional structure (16Wxx) Topological algebras, normed rings and algebras, Banach algebras (46Hxx)

Cites Work

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• Some results on \(\sigma \)-derivations
• Derivations on commutative normed algebras
• Noncommutative versions of the Singer-Wermer conjecture with linear left \(\vartheta\)-derivations
• The image of a derivation is contained in the radical
• Derivations mapping into the radical. III
• When the image of a derivation on a uniformly complete \(f\)-algebra is contained in the radical
• What can be expected from the image of \(\sigma \)-derivations on Banach algebras?
• Jordan Derivations on Semiprime Rings
• Derivations and reverse derivations in semiprime rings
• The Noncommutative Singer-Wermer Conjecture and ϕ-Derivations
• A new proof of Singer-Wermer Theorem with some results on {g, h}-derivations.
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Continuity of Derivations and a Problem of Kaplansky
• Jordan Derivations of Prime Rings
• On the derivations, generalized derivations and ternary derivations of degree \(n\)

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