On endo-commutative algebraic structures on two-dimensional vector spaces over an arbitrary field
In this paper, we describe the class of all two-dimensional endo-commutative algebras over any base field. Thereby, we extend recent results of Takahasi, Shirayanagi, and Tsukada on description of the class of two-dimensional endo-commutative algebras to the case of an arbitrary field. The concept o...
| Опубликовано в: : | Вестник Томского государственного университета. Математика и механика № 99. С. 30-49 |
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| Главный автор: | |
| Другие авторы: | , |
| Формат: | Статья в сборнике |
| Язык: | Russian |
| Предметы: | |
| Online-ссылка: | https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001291808 Перейти в каталог НБ ТГУ |
| Итог: | In this paper, we describe the class of all two-dimensional endo-commutative algebras over any base field. Thereby, we extend recent results of Takahasi, Shirayanagi, and Tsukada on description of the class of two-dimensional endo-commutative algebras to the case of an arbitrary field. The concept of an endo-commutative algebra was first introduced by aforementioned authors; in the same works, the motivations to study this class of algebras also were presented. In this paper, we present the canonical representatives of the isomorphism classes of two-dimensional endo-commutative algebras over an arbitrary field. |
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| Библиография: | Библиогр.: 24 назв. |
| ISSN: | 1998-8621 |