Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On extension of classical Baer results to Poisson algebras
Репозиторій DSpace/Manakin
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| dc.contributor.author | Kurdachenko, L.A. | |
| dc.contributor.author | Pypka, A.A. | |
| dc.contributor.author | Subbotin I.Ya. | |
| dc.date.accessioned | 2023-03-11T13:22:53Z | |
| dc.date.available | 2023-03-11T13:22:53Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | On extension of classical Baer results to Poisson algebras / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 84–108. — Бібліогр.: 52 назв. — англ. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | DOI:10.12958/adm1758 | |
| dc.identifier.other | 2020 MSC: 17B63,17B65. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/188679 | |
| dc.description.abstract | 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 show that if the n-th hypercenter of a Poisson algebra P (over some specific field) has a finite codimension and P does not contain zero divisors, then P is an abelian algebra. | uk_UA |
| dc.description.sponsorship | Dedicated to the 60th anniversary of the Department of Algebra and Mathematical Logic of Taras Shevchenko National University of Kyiv The first two authors are supported by the National Research Foundation of Ukraine (grant no. 2020.02/0066). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | On extension of classical Baer results to Poisson algebras | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
