Аннотация
We construct linear bases of free Gelfand-Dorfman-Novikov (GDN) superalgebras. As applications, we prove a Poincare-Birkhoff-Witt (PBW) type theorem, that is, every GDN superalgebra can be embedded into its universal enveloping associative differential supercommuative algebra. An Engel theorem is given.
Язык оригинала | английский |
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Страницы (с-по) | 481-505 |
Число страниц | 25 |
Журнал | International Journal of Algebra and Computation |
Том | 29 |
Номер выпуска | 3 |
DOI | |
Состояние | Опубликовано - 1 мая 2019 |