Geodesic
Necessary and sufficient conditions of polynomial growth of varieties of Leibniz--Poisson algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 33-39

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Poisson algebras are special cases of Leibniz–Poisson algebras. We give equivalent conditions of the polynomial codimension growth of a variety of Leibniz–Poisson algebras over a field of characteristic zero. We show all varieties of Leibniz–Poisson algebras with almost polynomial growth in one class of varieties.
Mots-clés : Poisson algebra, Leibniz–Poisson algebra
Keywords: variety of algebras, growth of a variety. 
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     author = {S. M. Ratseev},
     title = {Necessary and sufficient conditions of polynomial growth of varieties of {Leibniz--Poisson} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--39},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_3_a2/}
}
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S. M. Ratseev. Necessary and sufficient conditions of polynomial growth of varieties of Leibniz--Poisson algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 33-39. http://geodesic.mathdoc.fr/item/IVM_2014_3_a2/