Split epimorphisms and Baer sums of skew left braces

被引：0
|
作者：
Bourn, Dominique [1 ]
机构：
[1] Univ Littoral Cote dOpale, Lab Math Pures & Appl Joseph Liouville, UR 2597, LMPA, F-62100 Calais, France
来源：
JOURNAL OF ALGEBRA | 2024年 / 652卷
关键词：
Digroup; Skew brace; Yang-Baxter equation; Protomodular category; Strongly protomodular category; Split epimorphism; Baer sums;
D O I：
10.1016/j.jalgebra.2024.04.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the split epimorphisms in the categories of digroups and skew left braces. We show that, unlike the category DiGp of digroups, the category SkB of skew left braces is strongly protomodular. From that, we describe the expected Baer sums of exact sequences of skew left braces with abelian kernel. (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页码：188 / 207
页数：20
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