Geodesic
On semilattices and lattices for families of theories
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 980-985

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

We define and study semilattices and lattices for $E$-closed families of theories. Properties of these semilattices and lattices are investigated. It is shown that lattices for families of theories with the least generating sets are distributive.
Keywords: $E$-operator, combination of theories, family of theories, least generating set, semilattice, lattice. 
@article{SEMR_2017_14_a27,
     author = {S. V. Sudoplatov},
     title = {On semilattices and lattices for families of theories},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {980--985},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a27/}
}
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S. V. Sudoplatov. On semilattices and lattices for families of theories. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 980-985. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a27/