<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Conjugation semigroups and conjugation monoids with cancellation |
Publication Date: | 2018-11-18 |
Authors: |
- Ana Paula Garrão
- Nelson Martins-Ferreira - Margarida Raposo - Manuela Sobral |
Abstract: | We show that the category of conjugation semigroups with cancellation is weakly Mal'tsev and give a characterization of all admissible diagrams there. In the subcategory of conjugation monoids with cancellation we describe, for Schreier split epimorphisms with codomain B and kernel X, all morphisms h : X --> B which induce a reflexive graph, an internal category or an internal groupoid there. In this subcategory we prove that a relative version of the so-called "Smith is Huq" condition for Schreier split epimorphisms holds as well as other relative conditions. |
Institution: | DMUC 18-49 |
Online version: | http://www.mat.uc.pt...prints/eng_2018.html |
Download: | Not available |