Geodesic
On freedom and independence in hypergraphs of models of theories
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 612-630

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

The notions of freedom and independence for hypergraphs of models of a theory are introduced. We study properties of these notions in general case and for some natural classes of theories. We describe hypergraphs of models for theories of unary predicates, equivalence relations and study the properties of hypergraphs for ordered theories and for theories of unars.
Keywords: hypergraph of models, elementary theory, free set, independent sets, complete union of hypergraphs. 
@article{SEMR_2018_15_a16,
     author = {B. Sh. Kulpeshov and S. V. Sudoplatov},
     title = {On freedom and independence  in hypergraphs of models of theories},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {612--630},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a16/}
}
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B. Sh. Kulpeshov; S. V. Sudoplatov. On freedom and independence  in hypergraphs of models of theories. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 612-630. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a16/