Lie derivations of incidence algebras

DOI10.1016/j.laa.2016.10.011zbMath1349.16074arXiv1608.00110OpenAlexW2963288699WikidataQ115344429 ScholiaQ115344429MaRDI QIDQ344883

Xian Zhang, Mykola Khrypchenko

Publication date: 25 November 2016

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

Full work available at URL: https://arxiv.org/abs/1608.00110

zbMATH Keywords

derivationLie derivationincidence algebra

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35)

Related Items

Lie higher derivations of incidence algebras ⋮ Nonlinear Jordan derivations of finitary incidence algebras ⋮ Poisson structures on finitary incidence algebras ⋮ Lie-type derivations of finitary incidence algebras ⋮ Nonlinear Jordan higher derivations of incidence algebras ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Local derivations of finitary incidence algebras ⋮ Stronger Lie derivations on \(MA\)-semirings ⋮ Nonlinear derivations of incidence algebras ⋮ Nonlinear Jordan derivations of incidence algebras ⋮ Higher derivations of finitary incidence algebras ⋮ Linear \(n\)-commuting maps on incidence algebras ⋮ Lie n-derivations of incidence algebras ⋮ Nonlinear Lie derivations of incidence algebras ⋮ Lie triple derivations of incidence algebras ⋮ Jordan higher derivations of incidence algebras ⋮ Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra ⋮ Commuting maps on certain incidence algebras ⋮ Nonlinear Lie derivations of incidence algebras of finite rank ⋮ Lie automorphisms of incidence algebras

Cites Work

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• Lie triple derivations of triangular algebras.
• Generalized Lie derivations on triangular algebras.
• Jordan derivations of incidence algebras.
• The structure of Lie derivations on \(C^{\ast}\)-algebras
• Lie derivations of generalized matrix algebras.
• Commuting maps: a survey.
• Automorphisms and higher derivations of incidence algebras
• Lie derivations of certain CSL algebras
• Lie derivations of von Neumann algebras
• Lie derivations of primitive rings
• Derivations of Finitary Incidence Rings
• Automorphisms and involutions on incidence algebras
• Jordan derivations of finitary incidence rings
• Lie and Jordan structures in simple associative rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Lie Derivations of Triangular Algebras
• Classification of involutions on finitary incidence algebras
• Lie derivations on triangular matrices
• Structure of incidence algebras and their automorphism groups
• On the automorphisms of incidence algebras

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