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...
| Опубликовано в: : | Вестник Томского государственного университета. Математика и механика № 87. С. 34-43 |
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| Главный автор: | |
| Формат: | Статья в журнале |
| Язык: | English |
| Предметы: | |
| Online-ссылка: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001143607 Перейти в каталог НБ ТГУ |
| Итог: | 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. |
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| Библиография: | Библиогр.: 19 назв. |
| ISSN: | 1998-8621 |