Multi-groups

Multi-groups

In the present paper we define homogeneous algebraic systems. Particular cases of these systems are semigroup (monoid, group) systems. These algebraic systems were studied by J. Loday, A. Zhuchok, T. Pirashvili, and N. Koreshkov. Quandle systems were introduced and studied by V. Bardakov, D. Fedosee...

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Bibliographic Details
Published in:Вестник Томского государственного университета. Математика и механика № 87. С. 34-43
Main Author: Kozlovskaya, Tatyana A.
Format: Article
Language:English
Subjects:
алгебраические системы
однородные алгебраические системы
группоиды
полугруппы
моноиды
группы
полугрупповые системы
димоноиды
мульти-группы
мульти-квандлы
статьи в журналах
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001143607
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Summary:In the present paper we define homogeneous algebraic systems. Particular cases of these systems are semigroup (monoid, group) systems. These algebraic systems were studied by J. Loday, A. Zhuchok, T. Pirashvili, and N. Koreshkov. Quandle systems were introduced and studied by V. Bardakov, D. Fedoseev, and V. Turaev. We construct some group systems on the set of square matrices over a field . Also, we define rack systems on the set VG , where V is a vector space of dimension n over and G is a subgroup of ()nGL . Finally, we find the connection between skew braces and dimonoids.
Bibliography:Библиогр.: 19 назв.
ISSN:1998-8621

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