Geodesic
On axiomatizability of the class of finitary matroids and decidability of their universal theory
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1730-1740

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In the paper, finitary matroids are studied by means of the model theory. It is shown that the class of finitary matroids is nonaxiomatizable. Decidability of the universal theory of this class is proved.
Keywords: axiomatizability, finitary matroid, universal theory, decidability. 
@article{SEMR_2020_17_a39,
     author = {A. V. Il'ev and V. P. Il'ev},
     title = {On axiomatizability of the class of finitary matroids and decidability of their universal theory},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1730--1740},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a39/}
}
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A. V. Il'ev; V. P. Il'ev. On axiomatizability of the class of finitary matroids and decidability of their universal theory. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1730-1740. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a39/