Displaying similar documents to “Distributive multisemilattices”

On the variety Csub ( D )

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.

Separation properties in congruence lattices of lattices

Miroslav Ploščica (2000)

Colloquium Mathematicae

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We investigate the congruence lattices of lattices in the varieties n . 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 n have different congruence lattices.

Equimorphy in varieties of double Heyting algebras

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 𝒮 ⊆ 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...