On the variety Csub
Václav Slavík (1991)
Commentationes Mathematicae Universitatis Carolinae
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The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
Václav Slavík (1991)
Commentationes Mathematicae Universitatis Carolinae
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The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
Rai, Shashirekha B. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, A. Kisielewicz, B. Wolk (1992)
Colloquium Mathematicae
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Miroslav Ploščica (2000)
Colloquium Mathematicae
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We investigate the congruence lattices of lattices in the varieties . Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in have different congruence lattices.
E. K. R. Nagarajan, G. Meenambigai (2011)
Kragujevac Journal of Mathematics
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Mašulović, Dragan (2004)
Novi Sad Journal of Mathematics
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Manes, Ernie, Mulry, Philip (2007)
Theory and Applications of Categories [electronic only]
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Jakubíková-Studenovská, Danica, Mašulović, Dragan, Pöschel, Reinhard (2004)
Beiträge zur Algebra und Geometrie
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V. Koubek, J. Sichler (1998)
Colloquium Mathematicae
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We show that any finitely generated variety V of double Heyting algebras is finitely determined, meaning that for some finite cardinal n(V), any class ⊆ V consisting of algebras with pairwise isomorphic endomorphism monoids has fewer than n(V) pairwise non-isomorphic members. This result complements the earlier established fact of categorical universality of the variety of all double Heyting algebras, and contrasts with categorical results concerning finitely generated varieties of...