The Geometry of Point Reflections and Quasigroups

被引：0
作者：
Movsisyan, Yuri [1 ]
Pambuccian, Victor [2 ]
机构：
[1] Yerevan State Univ, Fac Math, Alex Manoogian 1, Yerevan, Armenia
[2] Arizona State Univ, Sch Math & Nat Sci, MC 2352,POB 37100, Phoenix, AZ 85069 USA
来源：
RESULTS IN MATHEMATICS | 2020年 / 75卷 / 04期
关键词：
Point-reflections; quasigroup; moufang loop; left Bruck loop; medial property; simple axiomatization; HYPERIDENTITIES; ABSOLUTE; LOOPS;
D O I：
10.1007/s00025-020-01264-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：19
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