Lattices of classes of groupoids with one-sided quasigroup conditions

被引：0
|
作者：
Galuszka, Jan [1 ]
机构：
[1] Silesian Tech Univ, Inst Math, Kaszubska 23, PL-44100 Gliwice, Poland
来源：
ALGEBRA & DISCRETE MATHEMATICS | 2010年 / 9卷 / 01期
关键词：
Groupoid; quasigroup; right quasigroup; left quasigroup; Steinitz numbers;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of onesided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
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页码：31 / 40
页数：10
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