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Title: Split extensions and semidirect products of unitary magmas
Authors: Gran, Marino
Janelidze, George
Sobral, Manuela
Keywords: Unitary magma; Split extension; firm split extension; Semidirect product
Issue Date: 2019
Publisher: Mathematical Institute of Charles University
Project: UID/MAT/00324/2019 
Serial title, monograph or event: Commentationes Mathematicae Universitatis Carolinae
Volume: 60
Issue: 4
Abstract: We develop a theory of split extensions of unitary magmas, which includes defining such extensions and describing them via suitably defined semidirect product, yielding an equivalence between the categories of split extensions and of (suitably defined) actions of unitary magmas on unitary magmas. The class of split extensions is pullback stable but not closed under composition. We introduce two subclasses of it that have both of these properties.
DOI: 10.14712/1213-7243.2020.001
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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