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On the triple construction of distributive p-algebras - MaRDI portal

On the triple construction of distributive p-algebras (Q1086597)

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scientific article; zbMATH DE number 3985290
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English
On the triple construction of distributive p-algebras
scientific article; zbMATH DE number 3985290

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    On the triple construction of distributive p-algebras (English)
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    1986
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    There are three types of constructions for pseudo-complemented semilattices and p-algebras \((=pseudocomplemented\) lattices) from triples (B,D,\(\phi)\). Following the lines of \textit{C. C. Chen} and \textit{G. Grätzer} [Can. J. Math. 21, 884-894 (1969; Zbl 0184.033)] the reviewer has obtained a triple construction for distributive p-algebras [Math. Nachr. 53, 85-99 (1972; Zbl 0222.06005)]. The author shows that the distributive p-algebras admit a Nemitz's type construction (by means of admissible maps) as well. (See the reviewer's and \textit{P. Mederly}'s paper [Algebra Univers. 17, 288-316 (1983; Zbl 0536.06004)].)
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    pseudo-complemented semilattices
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    pseudocomplemented lattices
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    distributive p-algebras
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    admissible maps
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