Characterizations of Jordan derivations on rings with idempotent

DOI10.1080/03081080902992047zbMath1208.16031OpenAlexW2095399038MaRDI QIDQ3589209

Run Ling An, Jin-Chuan Hou

Publication date: 20 September 2010

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

Full work available at URL: https://doi.org/10.1080/03081080902992047

zbMATH Keywords

idempotentsprime ringsJordan derivationstriangular rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25)

Related Items (6)

Jordan and Jordan higher all-derivable points of some algebras ⋮ Characterizations of Jordan mappings on some rings and algebras through zero products ⋮ Derivations on FCIN algebras ⋮ On \((m,n)\)-derivations of some algebras ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras

Cites Work

• Jordan derivations of triangular algebras
• Derivable mappings at unit operator on nest algebras
• All-derivable points in the algebra of all upper triangular matrices
• Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras
• Characterizations of derivations of Banach space nest algebras: all-derivable points
• On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)
• All-derivable points in matrix algebras
• Derivations of nest algebras
• Local derivations on operator algebras
• Commuting Maps of Triangular Algebras

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