Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products.
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Publication:616401
DOI10.1016/j.laa.2010.09.030zbMath1213.16029OpenAlexW2010589239WikidataQ115344826 ScholiaQ115344826MaRDI QIDQ616401
Jian Lian Cui, Jin-Chuan Hou, Xiao Fei Qi
Publication date: 7 January 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.030
Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)
Related Items (12)
Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras ⋮ Characterizing derivations on von Neumann algebras by local actions ⋮ Characterizations of Lie higher derivations on triangular algebras ⋮ Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action ⋮ 2-Local Lie derivations on semi-finite factor von Neumann algebras ⋮ Characterizations of additive \(\xi \)-Lie derivations on unital algebras ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ Characterization of Lie Derivations on Prime Rings ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\) ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X ⋮ Jordan higher derivable maps on triangular algebras by commutative zero products ⋮ A note on \(f\)-derivations of triangular algebras
Cites Work
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- 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 \(\mathcal B(\mathcal H)\)
- Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras
- Derivations and nest algebras on Banach space
- Derivations of nest algebras
- The structure of Lie derivations on \(C^{\ast}\)-algebras
- Maps characterized by action on zero products.
- Additive Lie (\(\xi\)-Lie) derivations and generalized Lie (\(\xi\)-Lie) derivations on prime algebras
- All-derivable points in continuous nest algebras
- Generalized Lie derivations in prime rings.
- Derivations of \(W^ *\)-algebras
- Linear maps Lie derivable at zero on J-subspace lattice algebras
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- Commutativity up to a factor of bounded operators in complex Hilbert space
- Jordan Derivations of Prime Rings
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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