The Geometry of Point Reflections and Quasigroups

被引：0
作者：
Yuri Movsisyan
Victor Pambuccian
机构：
[1] Yerevan State University,Faculty of Mathematics
[2] Arizona State University - West Campus,School of Mathematical and Natural Sciences (MC 2352)
来源：
Results in Mathematics | 2020年 / 75卷
关键词：
Point-reflections; quasigroup; moufang loop; left Bruck loop; medial property; simple axiomatization; Primary 20N05; Secondary 51M05;
D O I：
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学科分类号：
摘要：
This is a survey of results from the rich theory of medial and more general quasigroups and its close connection with the geometry of point-reflections. The emphasis is on questions regarding the simplest axiomatization, in the sense of the minimal number of variables appearing in the identtties, on dependence or independence of axioms, and on representation theorems in the style of Toyoda.
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