How many four-generated simple lattices
Ivan Rival, Bill Sands (1982)
Banach Center Publications
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Displaying similar documents to “Representation of complete lattices by sets”
How many four-generated simple lattices
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We characterize the pseudomodular lattices by means of a forbidden configuration.
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Ladislav Beran (1975)
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Stone Lattices
Adam Grabowski (2015)
Formalized Mathematics
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The article continues the formalization of the lattice theory (as structures with two binary operations, not in terms of ordering relations). In the paper, the notion of a pseudocomplement in a lattice is formally introduced in Mizar, and based on this we define the notion of the skeleton and the set of dense elements in a pseudocomplemented lattice, giving the meet-decomposition of arbitrary element of a lattice as the infimum of two elements: one belonging to the skeleton, and the...
Lattices of relative colour-families and antivarieties
Aleksandr Kravchenko (2007)
Discussiones Mathematicae - General Algebra and Applications
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We consider general properties of lattices of relative colour-families and antivarieties. Several results generalise the corresponding assertions about colour-families of undirected loopless graphs, see [1]. Conditions are indicated under which relative colour-families form a lattice. We prove that such a lattice is distributive. In the class of lattices of antivarieties of relation structures of finite signature, we distinguish the most complicated (universal) objects. Meet decompositions...