|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, номер 2, страницы 19–24
(Mi basm58)
|
|
|
|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Identities with permutations associated with quasigroups isotopic to groups
G. Belyavskaya Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Аннотация:
In this note we select a class of identities with permutations including three variables in a quasigroup $(Q,\cdot)$ each of which provides isotopy of this quasigroup to a group and describe a class of identities in a primitive quasigroup $(Q,\cdot,\backslash,/)$ each of which is sufficient for the quasigroup $(Q,\cdot)$ to be isotopic to a group. From these results it follows that in the identity of $V$. Belousov [6] characterizing a quasigroup isotopic to a group (to an abelian group) two from five (one of four) variables can be fixed.
Ключевые слова и фразы:
Quasigroup, primitive quasigroup, group, abelian group, isotopy of quasigroups, identity.
Поступила в редакцию: 09.07.2007
Образец цитирования:
G. Belyavskaya, “Identities with permutations associated with quasigroups isotopic to groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2, 19–24
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm58 https://www.mathnet.ru/rus/basm/y2007/i2/p19
|
Статистика просмотров: |
Страница аннотации: | 233 | PDF полного текста: | 100 | Список литературы: | 42 | Первая страница: | 2 |
|