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Algebra Comput."],"published-print":{"date-parts":[[2018,12]]},"abstract":"<jats:p> We review Gr\u00f6bner\u2013Shirshov bases for Lie algebras and survey some new results on Gr\u00f6bner\u2013Shirshov bases for [Formula: see text]-Lie algebras, Gelfand\u2013Dorfman\u2013Novikov algebras, Leibniz algebras, etc. Some applications are given, in particular, some characterizations of extensions of groups, associative algebras and Lie algebras are given. <\/jats:p>","DOI":"10.1142\/s0218196718400027","type":"journal-article","created":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T02:35:31Z","timestamp":1532572531000},"page":"1403-1423","source":"Crossref","is-referenced-by-count":2,"title":["Some new results on Gr\u00f6bner\u2013Shirshov bases for Lie algebras and around"],"prefix":"10.1142","volume":"28","author":[{"given":"L. A.","family":"Bokut","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. 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