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On analogs of some classical group theoretical results in Poisson algebras

We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is nilpotent (Abelian). Moreover, if the n-th hypercenter of a Poisson algebra P ov...

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Bibliographic Details
Main Authors: Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2021
Series:Доповіді НАН України
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/180515
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