On subquasivariety lattices of some varieties related with distributive p-algebras (Q1073820)
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scientific article; zbMATH DE number 3946202
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On subquasivariety lattices of some varieties related with distributive p-algebras |
scientific article; zbMATH DE number 3946202 |
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On subquasivariety lattices of some varieties related with distributive p-algebras (English)
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1985
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The author examines the lattices of subquasivarieties of the varieties of distributive double p-algebras and double Heyting algebras. It is shown that neither of these two lattices satisfies a non trivial lattice identity. Furthermore, the author proves that the lattice of subquasivarieties of a variety of distributive p-algebras is either distributive or does not satisfy a non trivial lattice identity; for this result, cf. also \textit{M. P. Tropin} [Algebra Logika 22, 159-167 (1983; Zbl 0541.06008)].
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lattices of subquasivarieties
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varieties of distributive double p- algebras
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double Heyting algebras
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