Jordan derivations of full matrix algebras.

DOI10.1016/j.laa.2008.09.001zbMath1166.16310OpenAlexW2092682682MaRDI QIDQ958048

B. E. Eshmatov

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.001

zbMATH Keywords

bimodulesfull matrix algebrasJordan derivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (13)

Characterization of 2-local derivations and local Lie derivations on some algebras ⋮ Characterizing Jordan \(n\)-derivations of unital rings containing idempotents ⋮ Local derivations of full matrix rings ⋮ Linear maps on matrix algebra Jordan derivable at involutory matrices ⋮ Lie triple derivations of nest algebras on Banach spaces ⋮ Nonlinear Lie-type derivations on full matrix algebras. ⋮ Unnamed Item ⋮ Maps determined by action on identity-product elements ⋮ Characterizations of Jordan mappings on some rings and algebras through zero products ⋮ Jordan higher derivations on triangular algebras ⋮ On derivations, biderivations and superbiderivations of quaternion rings ⋮ Derivations and 2-local derivations on matrix algebras and algebras of locally measurable operators ⋮ Left Derivations Characterized by Acting on Multilinear Polynomials

Cites Work

• Unnamed Item
• Jordan derivations of triangular algebras
• Automorphisms of upper triangular matrix rings
• Derivations of upper triangular matrix rings
• Jordan derivations and antiderivations on triangular matrices
• Automorphisms and derivations of upper triangular matrix rings
• Jordan Derivations on Semiprime Rings
• Derivations and Automorphisms of Nonassociative Matrix Algebras
• Diffrential polynomial rings and morita equivalence
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras
• Jordan Derivations of Prime Rings
• Jordan Homomorphisms of Rings

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