Simple and subdirectly irreducibles bounded distributive lattices with unary operators.
Celani, Sergio Arturo (2006)
International Journal of Mathematics and Mathematical Sciences
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Celani, Sergio Arturo (2006)
International Journal of Mathematics and Mathematical Sciences
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Abad Manuel, Cimadamore Cecilia, Díaz Varela José, Rueda Laura, Suardíaz Ana (2005)
Open Mathematics
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In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements form a three-valued Heyting algebra is obtained.
Filip Krajník, Miroslav Ploščica (2014)
Czechoslovak Mathematical Journal
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We say that a variety of algebras has the Compact Intersection Property (CIP), if the family of compact congruences of every is closed under intersection. We investigate the congruence lattices of algebras in locally finite, congruence-distributive CIP varieties and obtain a complete characterization for several types of such varieties. It turns out that our description only depends on subdirectly irreducible algebras in and embeddings between them. We believe that the strategy...
Ivo Düntsch (1993)
Banach Center Publications
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0. Introduction. Besides being of intrinsic interest, cylindric (semi-) lattices arise naturally from the study of dependencies in relational databases; the polynomials on a cylindric semilattice are closely related to the queries obtainable from project-join mappings on a relational database (cf. [D] for references). This note is intended to initiate the study of these structures, and only a few, rather basic results will be given. Some problems at the end will hopefully stimulate further...
Luc Vrancken-Mawet (1987)
Commentationes Mathematicae Universitatis Carolinae
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