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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
On the structure of free dual Leibniz algebras
A. Naurazbekova Department of Mechanics and Mathematics,
L.N. Gumilyov Eurasian National University,
2 Satpaev St,
010008 Nur-Sultan, Kazakhstan
Аннотация:
It is proved that over a field of characteristic zero the free dual Leibniz algebras are the free associative-commutative algebras (without unity) with respect to the multiplication $a\circ b = ab+ba$ and their free generators are found. We construct the examples of subalgebras of two-generated free dual Leibniz algebra, that are free dual Leibniz algebras of countable rank.
Ключевые слова и фразы:
free dual Leibniz algebra, left-normed word, Lyndon–Shirshov word.
Поступила в редакцию: 23.04.2018
Образец цитирования:
A. Naurazbekova, “On the structure of free dual Leibniz algebras”, Eurasian Math. J., 10:3 (2019), 40–47
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj337 https://www.mathnet.ru/rus/emj/v10/i3/p40
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