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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| Date: | 2021 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Видавничий дім "Академперіодика" НАН України
2021
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| Series: | Доповіді НАН України |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/180515 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On analogs of some classical group theoretical results in Poisson algebras / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2021. — № 3. — С. 11-16. — Бібліогр.: 15 назв. — англ. |