Classification of group isotopes according to their inverse properties

• Date: 2020
• Main Author: Lutsenko, A. V.; Луценко А. В.; Донецький національний університет ім. Василя Стуса, Вінниця
• Format: Article
• Language: English
• Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2020
• Subjects: квазігрупа; тотожність; многовид; парастроф; груповий ізотоп
• Online Access: http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2020.18.48-61
• Journal Title: Prykladni Problemy Mekhaniky i Matematyky

Coincidence of translation sets of the same directions in a quasigroup defines nine varieties: IP, CIP and mirror quasigroup varieties [9]. Their intersection with the variety of group isotopes is studied. In particular, it is proved that in the variety of group isotopes, the subvarieties of the mid...