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  • Lie ▫$\sigma$▫-derivations of triangular algebras
    Benkovič, Dominik
    Let ▫$\mathcal{A}$▫ be a triangular algebra and ▫$\sigma$▫ be an automorphism of ▫$\mathcal{A}$▫. We consider the problem of describing the form of Lie ▫$\sigma$▫-derivations of ▫$\mathcal{A}$▫. In ... particular, we give sufficient conditions that every Lie ▫$\sigma$▫-derivation ▫$d$▫ of ▫$\mathcal{A}$▫ is the sum ▫$d = \Delta + \gamma$▫, where ▫$\Delta$▫ is a ▫$\sigma$▫-derivation of ▫$\mathcal{A}$▫ and ▫$\gamma$▫ is a linear mapping from ▫$\mathcal{A}$▫ to its ▫$\sigma$▫-centre that vanishes on ▫$[\mathcal{A},\mathcal{A}]$▫. As an application, Lie ▫$\sigma$▫-derivations of (block) upper triangular matrix algebras and nest algebras are determined.
    Vir: Linear and Multilinear Algebra. - ISSN 0308-1087 (Vol. 70, iss. 15, 2022, str. 2966-2983)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2022
    Jezik - angleški
    COBISS.SI-ID - 127110659

    Povezava(-e):

    https://www.tandfonline.com/doi/full/10.1080/03081087.2020.1820431
    DOI

vir: Linear and Multilinear Algebra. - ISSN 0308-1087 (Vol. 70, iss. 15, 2022, str. 2966-2983)
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