Categorial quasivarieties of Abelian groupoids and quasigroups
type: Item
instance of: scholarly article
title: Categorial quasivarieties of Abelian groupoids and quasigroups
zbMATH Open document ID: 0582.08006
DOI: 10.1007/BF00968905
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: An algebraic system A is said to be categorical if the quasivariety generated by A is categorical in some infinite power not smaller than the cardinality of A. It is proved that an Abelian groupoid generating a categorical quasivariety is necessarily a quasigroup. Every categorical quasigroup is isotopic to an Abelian group. A description of categorical quasigroups is given.
Mathematics Subject Classification ID: 08C15
Mathematics Subject Classification ID: 03C35
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 20M07
zbMATH DE Number: 3931094
zbMATH Keywords: Abelian groupoid
zbMATH Keywords: categorical quasivariety
zbMATH Keywords: categorical quasigroups
author: Alena Andreevna Stepanova
reviewed by: Jaroslav Ježek
MaRDI profile type: Publication
cites work: Q3887439
cites work: Q4404871
cites work: Elimination of quantifiers for modules
cites work: Q5682108
full work available at URL: https://doi.org/10.1007/bf00968905
OpenAlex ID: W2068463512
description: scientific article; zbMATH DE number 3931094