Jordan higher derivable maps on triangular algebras by commutative zero products

DOI10.1007/S10114-016-5047-9zbMath1338.47038OpenAlexW2263134705MaRDI QIDQ255984

Dan Liu, Jian Hua Zhang

Publication date: 9 March 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5047-9

zbMATH Keywords

commutative zero productJordan higher derivable maptriangular algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35)

Related Items (1)

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Cites Work

• Jordan higher all-derivable points in triangular algebras
• Möbius geometry of three-dimensional Wintgen ideal submanifolds in \(\mathbb S^5\)
• Characterizations of Lie derivations of triangular algebras.
• Jordan all-derivable points in the algebra of all upper triangular matrices
• Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products.
• Additive maps preserving Jordan zero-products on nest algebras
• Jordan higher derivations on triangular algebras
• Additive maps derivable or Jordan derivable at zero point on nest algebras
• Characterizations of derivations and Jordan derivations on Banach algebras
• Characterizations of Lie derivations of \(B(X)\)
• Commuting traces and commutativity preserving maps on triangular algebras.
• Jordan higher all-derivable points in nest algebras
• Commuting Maps of Triangular Algebras
• Lie Derivations of Triangular Algebras
• Mappings preserving zero products
• Some linear preserver problems on upper triangular matrices

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