Kurdachenko, L.A.; Pypka, A.A.; Subbotin I.Ya.
(Algebra and Discrete Mathematics, 2021)
In this paper we prove that if P is a Poisson algebra and the n-th hypercenter (center) of P has a finite codimension, then P includes a finite-dimensional ideal K such that P/K is nilpotent (abelian). As a corollary, we ...