Categorial quasivarieties of Abelian groupoids and quasigroups (Q1068874)
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scientific article; zbMATH DE number 3931094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Categorial quasivarieties of Abelian groupoids and quasigroups |
scientific article; zbMATH DE number 3931094 |
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Categorial quasivarieties of Abelian groupoids and quasigroups (English)
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1984
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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.
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Abelian groupoid
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categorical quasivariety
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categorical quasigroups
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