Geodesic
Characterizable classes of lattices
Algebra i logika, Tome 51 (2012) no. 3, pp. 347-357

Voir la notice de l'article provenant de la source Math-Net.Ru

We look at the concept of a characterizable class of systems. It is proved that there exist characterizable varieties of lattices 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.
Keywords: characterizable class of lattices, variety. 
@article{AL_2012_51_3_a3,
     author = {Zh. A. Omarov},
     title = {Characterizable classes of lattices},
     journal = {Algebra i logika},
     pages = {347--357},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_3_a3/}
}
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Zh. A. Omarov. Characterizable classes of lattices. Algebra i logika, Tome 51 (2012) no. 3, pp. 347-357. http://geodesic.mathdoc.fr/item/AL_2012_51_3_a3/