Schreier split epimorphisms between monoids

被引：21
|
作者：
Bourn, Dominique [1 ]
Martins-Ferreira, Nelson [2 ]
Montoli, Andrea [3 ]
Sobral, Manuela [3 ,4 ]
机构：
[1] Univ Littoral Cote dOpale, Lab Math Pures & Appl, Calais, France
[2] Inst Politecn Leiria, ESTG, CDRSP, Leiria, Portugal
[3] Univ Coimbra, CMUC, P-3001454 Coimbra, Portugal
[4] Univ Coimbra, Dept Math, P-3001454 Coimbra, Portugal
来源：
SEMIGROUP FORUM | 2014年 / 88卷 / 03期
关键词：
Schreier split epimorphisms; Monoids; Split short five lemma; Internal relations;
D O I：
10.1007/s00233-014-9571-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore some properties of Schreier split epimorphisms between monoids, which correspond to monoid actions. In particular, we prove that the split short five lemma holds for monoids, when it is restricted to Schreier split epimorphisms, and that any Schreier reflexive relation is transitive, partially recovering in monoids a classical property of Mal'tsev varieties.
引用
收藏
页码：739 / 752
页数：14
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