On analogs of some classical group-theoretic results in Poisson algebras
نویسندگان
چکیده
We investigate the Poisson algebras, in which n-th hypercenter (center) has a finite codimension. It was established that, this case, algebra P includes finite-dimensional ideal K such that P/K is nilpotent (Abelian). Moreover, if of over some field codimension, and does not contain zero divisors, then Abelian.
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ژورنال
عنوان ژورنال: Reports of the National Academy of Sciences of Ukraine
سال: 2021
ISSN: ['2518-153X', '1025-6415']
DOI: https://doi.org/10.15407/dopovidi2021.03.011