Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	Weakly Schreier extensions for general algebras
Publication Date:	2022-11-02
Authors:	- Graham Richard Manuell - Nelson Martins-Ferreira
Abstract:	Weakly Schreier split extensions are a reasonably large, yet well-understood class of monoid extensions, which generalise some aspects of split extensions of groups. This short note provides a way to define and study similar classes of split extensions in general algebraic structures (parameterised by a term θ). These generalise weakly Schreier extensions of monoids, as well as general extensions of semi-abelian varieties (using the θ appearing in their syntactical characterisation). Restricting again to the case of monoids, a different choice of θ leads to a new class of monoid extensions, more general than the weakly Schreier split extensions.
Institution:	arXiv:2211.01132
Online version:	https://arxiv.org/abs/2211.01132
Download:	Not available