Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products.

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

zbMATH Keywords

prime algebrasLie productsLie derivationsadditive maps

Mathematics Subject Classification ID

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

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