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.
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container_title Algebra universalis
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creator Kravchenko, A. V.
Nurakunov, A. M.
Schwidefsky, M. V.
description 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.
doi_str_mv 10.1007/s00012-019-0588-2
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subjects Algebra
Algebras and Lattices in Hawaii
Lattices (mathematics)
Mathematics
Mathematics and Statistics
title On representation of finite lattices
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