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Semigroups generating categorical Horn classes - MaRDI portal

Semigroups generating categorical Horn classes (Q1088782)

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scientific article; zbMATH DE number 3991786
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English
Semigroups generating categorical Horn classes
scientific article; zbMATH DE number 3991786

    Statements

    Semigroups generating categorical Horn classes (English)
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    1985
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    The author proves that the Horn class generated by a semigroup is \(\omega\) \({}_ 1\)-categorical if and only if it is an abelian group, a zero semigroup, or satisfies an identity \(xy=x\) or \(xy=y\).
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    semigroups
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    Horn class
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    \(\omega _ 1\)-categorical
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