Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications
DOI10.1007/s40879-023-00667-4WikidataQ121864376 ScholiaQ121864376MaRDI QIDQ6166629
Miguel Cabrera García, Angel Rodriguez Palacios
Publication date: 3 August 2023
Published in: European Journal of Mathematics (Search for Journal in Brave)
differential operator\(H^*\)-algebraprimitive ringadditive derivationquaternionic normed spacestandard operator ring
Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Jordan structures associated with other structures (17C50) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Nonassociative topological algebras (46H70) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Hilbert algebras (46K15) Operators on Banach spaces (47B01) Quaternionic operator theory (47S05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Jordan axioms for C*-algebras
- Nonassociative real \(H^*\)-algebras
- Generators and relations for 3-graded Lie algebras
- Jordan \(C^*\)-algebras
- An Allison-Kantor-Koecher-Tits construction for Lie \(H^*\)-algebras
- Structure theory for real noncommutative Jordan \(H^*\)-algebras
- Structure theory for noncommutative Jordan \(H^ *\)-algebras
- Classification of the simple separable real L\(^*\)-algebras
- Continuity and linearity of additive derivations of nest algebras on Banach spaces
- A generalization of a theorem of Chernoff on standard operator algebras
- On derivations, biderivations and superbiderivations of quaternion rings
- On interactions of quaternionic and complex structures of linear spaces
- Automorphisms and derivations of algebras of infinite matrices
- Conditional expectations in complete normed complex algebras satisfying the von Neumann inequality
- Ring derivations on standard operator algebras
- Identities related to derivations and centralizers on standard operators algebras
- Simple \(L^*\)-algebras of classical type
- Automorphisms of \(L^ *\)-algebras
- Representations, automorphisms, and derivations of some operator algebras
- Dual rings
- Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules
- Additive Derivations on Jordan Banach Pairs
- Extended centroid and central closure of semiprime normed algebras. a first approach
- Hilbert Space Methods in the Theory of Lie Algebras
- Cartan Decompositions for L ∗ -Algebras
- Isomorphisms of H*-algebras
- A Wedderburn Theorem for Non-Associative Complete Normed Algebras
- Mal'cev H*-algebras
- Derivatons of Jordan $C^*$-algebras.
- Continuity of derivations on Mal'cev H*-algebras
- JV-Algèbres et JH*-Algèbres
- NONASSOCIATIVE ULTRAPRIME NORMED ALGEBRAS
- Hilbert space methods in the theory of Jordan algebras. I
- Hilbert space methods in the theory of Jordan algebras. II
- Continuity of Derivations on H ∗ -Algebras
- Non-Associative Normed Algebras
- Structure theory for L*-algebras
- Diffrential polynomial rings and morita equivalence
- Totally multiplicatively prime algebras
- CONTINUITY OF DENSELY VALUED HOMOMORPHISMS INTO H*-ALGEBRAS
- Weak Jordan derivations of prime rings
- Non‐associativeC*‐algebras
- Structure ofH*‐algebras
- On quaternionic functional analysis
- Non-Associative Normed Algebras
- Continuity of Derivations and a Problem of Kaplansky
- Jordan Derivations of Prime Rings
- On the Lie derivations and generalized Lie derivations of quaternion rings
- Topological Rings
- Structure Theorems for a Special Class of Banach Algebras
- On Infinite-Dimensional Linear Spaces
- Standard operator Jordan rings on Banach spaces, and their derivations
