Equivalent conditions for polynomial growth of the Poisson algebra manifolds / S. M. Ratseev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 5. P. 8-13 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
We present equivalent conditions of the polynomial codimension growth of a variety of Poisson algebras over a field of characteristic zero and show that there are only two varieties of Poisson algebras with almost polynomial growth.
Key words: Poisson algebra, variety of algebras, growth of a variety.