Finitely axiomatizable varieties of BCK-algebras (Q1059653)
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scientific article; zbMATH DE number 3904656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely axiomatizable varieties of BCK-algebras |
scientific article; zbMATH DE number 3904656 |
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Finitely axiomatizable varieties of BCK-algebras (English)
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1985
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The main theorem of the paper is that the join of two relatively finitely axiomatizable subvarieties of a variety of expanded BCK-algebras is also finitely axiomatizable relative to the variety. The notion of a variety of expanded BCK-algebras, introduced in the paper, encompasses various varieties as examples, e.g. the variety of commutative complementary semigroups of Bosbach, the one of the Heyting algebras and the one of the MV-algebras of Chang.
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relatively finitely axiomatizable subvarieties
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variety of expanded BCK- algebras
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variety of commutative complementary semigroups
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Heyting algebras
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