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Multiplicative Lie triple derivation of triangular 3-matrix rings

机译:Multiplicative Lie triple derivation of triangular 3-matrix rings

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Abstract Let T=T3(Ri,Mij)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathfrak {T}}={mathfrak {T}}_3(mathrm {R}_i, mathrm {M}_{ij})$$end{document} be a triangular 3-matrix ring. In the present paper, we study of multiplicative Lie triple derivation on triangular 3-matrix rings and prove that every multiplicative Lie triple derivation on triangular 3-matrix rings can be written as a sum of an additive derivation and a center valued map vanishing at each second commutator.

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