Article

    Ufa Mathematical Journal
    Volume 4, Number 3, pp. 153-158

    Characteristic Lie ring of the Zhiber-Shabat-Tzitzeica equation


    Sakieva A.U.

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    A complete description of the characteristic Lie ring for the Zhiber-Shabat-Tzitzeica equation is given. For the linear space of multiple commutators of arbitrary order a basis is constructed. It is proved that the characteristic Lie ring is a ring of slow growth.