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Bases of quasiidentities of finite distributive p-algebras - MaRDI portal

Bases of quasiidentities of finite distributive p-algebras (Q1119669)

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scientific article; zbMATH DE number 4097444
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Bases of quasiidentities of finite distributive p-algebras
scientific article; zbMATH DE number 4097444

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    Bases of quasiidentities of finite distributive p-algebras (English)
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    1987
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    A p-algebra \(<A;\vee,\wedge,*,0,1>\) is a distributive lattice \(<A;\vee,\wedge,0,1>\) with zero 0 and unit element 1, where * is pseudo- complementation. The author proves the following remarkable result: Every finite p-algebra with more than one element can be embedded in a finite p-algebra that has no finite bases for its quasi-identities.
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    pseudo-complementation
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    finite p-algebra
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