Some new results on Gröbner–Shirshov bases for Lie algebras and around

Autor:	Yuqun Chen, Abdukadir Obul, L. A. Bokut
Rok vydání:	2018
Předmět:	Pure mathematics Leibniz algebra General Mathematics Mathematics::Rings and Algebras 010102 general mathematics 0103 physical sciences Lie algebra 010307 mathematical physics Extension (predicate logic) 0101 mathematics 01 natural sciences Mathematics
Zdroj:	International Journal of Algebra and Computation. 28:1403-1423
ISSN:	1793-6500 0218-1967
DOI:	10.1142/s0218196718400027
Popis:	We review Gröbner–Shirshov bases for Lie algebras and survey some new results on Gröbner–Shirshov bases for [Formula: see text]-Lie algebras, Gelfand–Dorfman–Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fc758b07a73e84b0f1e97dc5b44a86cf https://doi.org/10.1142/s0218196718400027 Zobrazit plný text záznamu