On representation of finite lattices

On representation of finite lattices

In an earlier article, the authors found sufficient conditions for complexity of the lattice of subquasivarieties of a quasivariety. In the present article, we prove that these conditions allow us to represent finite lattices as relative congruence lattices and relative variety lattices in a uniform...

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Veröffentlicht in:Algebra universalis 2019-03, Vol.80 (1), p.1-17, Article 15
Hauptverfasser: Kravchenko, A. V., Nurakunov, A. M., Schwidefsky, M. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebras and Lattices in Hawaii
Lattices (mathematics)
Mathematics
Mathematics and Statistics
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Zusammenfassung:In an earlier article, the authors found sufficient conditions for complexity of the lattice of subquasivarieties of a quasivariety. In the present article, we prove that these conditions allow us to represent finite lattices as relative congruence lattices and relative variety lattices in a uniform way. Some applications are presented.
ISSN:0002-5240
1420-8911
DOI:10.1007/s00012-019-0588-2