Split extensions and semidirect products of unitary magmas

Autor:	Gran, Marino, Janelidze, George, Sobral, Manuela
Rok vydání:	2019
Předmět:	Mathematics - Category Theory Mathematics - Rings and Algebras 20N02 08C05 18G50
Zdroj:	Comment. Math. Univ. Carolin. 60, 4 (2019) 509-527
Druh dokumentu:	Working Paper
DOI:	10.14712/1213-7243.2020.001
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.02310 Zobrazit plný text záznamu View this record from Arxiv