A CHARACTERIZATION OF CENTRAL EXTENSIONS IN THE VARIETY OF QUANDLES

被引：0
|
作者：
Even, Valerian [1 ]
Gran, Marino
Montoli, Andrea
机构：
[1] Catholic Univ Louvain, Inst Rech Math & Phys, Chemin Cyclotron 2, B-1348 Louvain La Neuve, Belgium
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2016年 / 31卷
关键词：
Quandle; symmetric quandle; abelian object; Mal'tsev variety; central extension; categorical Galois theory; MALTSEV CATEGORIES; UNIVERSAL ALGEBRA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The category of symmetric quandles is a Mal'tsev variety whose subvariety of abelian symmetric quandles is the category of abelian algebras. We give an algebraic description of the quandle extensions that are central for the adjunction between the variety of quandles and its subvariety of abelian symmetric quandles.
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页码：201 / 216
页数：16
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