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 |
|---|---|
| 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 |
| LEADER | 02266naa a2200337 4500 | ||
|---|---|---|---|
| 001 | koha001291808 | ||
| 005 | 20260318102443.0 | ||
| 007 | cr | | ||
| 008 | 260318s2026 ru fs rus d | ||
| 024 | 7 | |a 10.17223/19988621/99/3 |2 doi | |
| 035 | |a koha001291808 | ||
| 040 | |a RU-ToGU |b rus |c RU-ToGU | ||
| 100 | 1 | |a Asrorov, Diyorjon U. A. |9 1019183 | |
| 245 | 1 | 0 | |a On endo-commutative algebraic structures on two-dimensional vector spaces over an arbitrary field |c D. U. Asrorov, U. D. Bekbaev, I. S. Rakhimov |
| 246 | 1 | 1 | |a Об эндо-коммутативных алгебраических структурах на двумерных векторных пространствах над произвольным полем |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: 24 назв. | ||
| 520 | 3 | |a 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. | |
| 653 | |a эндо-коммутативные алгебры | ||
| 653 | |a изоморфизм | ||
| 653 | |a матрица структурных констант | ||
| 655 | 4 | |a статьи в журналах | |
| 700 | 1 | |a Bekbaev, Ural Dj. |9 1019184 | |
| 700 | 1 | |a Rakhimov, Isamiddin S. |9 1019185 | |
| 773 | 0 | |t Вестник Томского государственного университета. Математика и механика |d 2026 |g № 99. С. 30-49 |x 1998-8621 |w 0210-41660 | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 4 | |u https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001291808 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1291808 | ||
| 908 | |a статья | ||
| 999 | |c 1291808 |d 1291808 | ||