Isotopy invariant quasigroup identities

Commentationes mathematicae Universitatis Carolinae

Aleksandar Krapež¹ 

关键词: quasigroup;    $3$-sorted quasigroup;    homotopy;    isotopy;    quadratic identity;    gemini identity;    coherent identity;    variety closed under isotopy (homotopy);   

DOI  :  10.14712/1213-7243.2015.179

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

According to S.~Krsti\'c, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.

【 授权许可】

CC BY