Enveloping algebras of double Poisson-Ore extensions

Autor:	Sei-Qwon Oh, Xiaolan Yu, Jiafeng Lü, Xingting Wang
Rok vydání:	2018
Předmět:	17B63 16S10 Algebra and Number Theory Mathematics::Rings and Algebras 010102 general mathematics Ore extension Universal enveloping algebra Mathematics - Rings and Algebras Extension (predicate logic) Poisson distribution Computer Science::Digital Libraries 01 natural sciences Algebra symbols.namesake Rings and Algebras (math.RA) Iterated function 0103 physical sciences FOS: Mathematics symbols Computer Science::Symbolic Computation 010307 mathematical physics 0101 mathematics Algebra over a field Mathematics
Zdroj:	Communications in Algebra. 46:4891-4904
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927872.2018.1459643
Popis:	It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are preserved under iterated double Ore extensions are invariants of the Poisson enveloping algebra of a double Poisson-Ore extension. 15 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dddd757254a86de120906330a4fed943 https://doi.org/10.1080/00927872.2018.1459643 Zobrazit plný text záznamu