Geodesic
The class of bounded lattices is not axiomatizable
Algebra i logika, Tome 55 (2016) no. 4, pp. 493-497

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

We prove that the class of bounded (lower bounded, upper bounded) lattices is not closed under ultraproducts, thereby solving an open problem.
Keywords: axiomatizable class, lower bounded lattice, free lattice
Mots-clés : ultraproduct. 
@article{AL_2016_55_4_a7,
     author = {M. V. Schwidefsky},
     title = {The class of bounded lattices is not axiomatizable},
     journal = {Algebra i logika},
     pages = {493--497},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_4_a7/}
}
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M. V. Schwidefsky. The class of bounded lattices is not axiomatizable. Algebra i logika, Tome 55 (2016) no. 4, pp. 493-497. http://geodesic.mathdoc.fr/item/AL_2016_55_4_a7/