|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, номер 1, страницы 24–40
(Mi basm407)
|
|
|
|
Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Central and medial quasigroups of small order
David Stanovskýa, Petr Vojtěchovskýb a Department of Algebra, Charles University, Sokolovská 83, 186 75 Praha 8, CZECH REPUBLIC
b Department of Mathematics, University of Denver, 2280 S Vine St, Denver, Colorado 80208, U.S.A.
Аннотация:
We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.
Ключевые слова и фразы:
medial quasigroup, entropic quasigroup, central quasigroup, $\mathrm T$-quasigroup, abelian quasigroup, quasigroup affine over abelian group, abelian algebra, affine algebra, classification of quasigroups, enumeration of quasigroups.
Поступила в редакцию: 11.11.2015
Образец цитирования:
David Stanovský, Petr Vojtěchovský, “Central and medial quasigroups of small order”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 24–40
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm407 https://www.mathnet.ru/rus/basm/y2016/i1/p24
|
|