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Equivalent conditions of polynomial growth of a variety of Poisson algebras

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Equivalent conditions of the polynomial codimension growth of a variety of Poisson algebras over a field of characteristic zero are presented and it is shown that there are only two varieties of Poisson algebras with almost polynomial growth.

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Original Russian Text © S.M. Ratseev, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 8–13.

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Ratseev, S.M. Equivalent conditions of polynomial growth of a variety of Poisson algebras. Moscow Univ. Math. Bull. 67, 195–199 (2012). https://doi.org/10.3103/S0027132212050026

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  • DOI: https://doi.org/10.3103/S0027132212050026

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