A principal congruence identity characterizing the variety of distributive lattices with zero
Ivan Chajda (1990)
Mathematica Slovaca
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Displaying similar documents to “Principal congruence relations and principal tolerances on varieties of lattices”
A principal congruence identity characterizing the variety of distributive lattices with zero
Distributive lattices have the intersection property
Henri Mühle (2021)
Mathematica Bohemica
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Distributive lattices form an important, well-behaved class of lattices. They are instances of two larger classes of lattices: congruence-uniform and semidistributive lattices. Congruence-uniform lattices allow for a remarkable second order of their elements: the core label order; semidistributive lattices naturally possess an associated flag simplicial complex: the canonical join complex. In this article we present a characterization of finite distributive lattices in terms of the core...
Varieties having distributive lattices of quasiorders
Ivan Chajda (1991)
Czechoslovak Mathematical Journal
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Distributive lattices with a given skeleton
Joanna Grygiel (2004)
Discussiones Mathematicae - General Algebra and Applications
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We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.