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Lattices of relative colour-families and antivarieties

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Kravchenko A.

Discussiones Mathematicae - General Algebra and Applications

2007

tom 27

nr 1

123-139

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 in lattices of colour-families are considered. A criterion is found for existence of irredundant meet decompositions. A connection is found between meet decompositions and bases for anti-identities.

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1 Discussiones Mathematicae - General Algebra and Applications

1 Kravchenko A.

1 2007

Wyniki wyszukiwania

Lattices of relative colour-families and antivarieties