Conjugation semigroups and conjugation monoids with cancellation (Preprint)

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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
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