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Characterizable classes of lattices

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Algebra and Logic Aims and scope

We look at the concept of a characterizable class of systems. It is proved that there exist characterizable lattice varieties whose join in the lattice of all lattice varieties is not a characterizable variety. We point out two finitely characterizable lattice quasivarieties, which are not varieties, whose meet in the lattice of lattice quasivarieties is a variety. Also an example of a characterizable locally finite lattice variety is constructed.

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Authors
  1. Zh. A. Omarov
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Additional information

Translated from Algebra i Logika, Vol. 51, No. 3, pp. 347-357, May-June, 2012.

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Omarov, Z.A. Characterizable classes of lattices. Algebra Logic 51, 232–240 (2012). https://doi.org/10.1007/s10469-012-9186-5

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  • DOI: https://doi.org/10.1007/s10469-012-9186-5

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