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How many variables does a quasivariety need? - MaRDI portal

How many variables does a quasivariety need? (Q583258)

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scientific article; zbMATH DE number 4132239
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How many variables does a quasivariety need?
scientific article; zbMATH DE number 4132239

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    How many variables does a quasivariety need? (English)
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    1990
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    A class of algebras of a given type is called a quasivariety if it is closed under subalgebras, products and isomorphisms. The question whether each quasivariety of finitary algebras has a presentation by a set (not a proper class) of implications is proved to be equivalent with the set- theoretical statement known as Vopěnka's principle.
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    quasivariety
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    finitary algebras
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    implications
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    Vopěnka's principle
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