On elementary equivalence of free quasigroups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 885-901
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For free quasigroups the following results are proved. Every two free quasigroups have the same $\forall$-theory. The elementary theory of any class of free quasigroups of infinite rank is decidable and coincides with the elementary theory of a free quasigroup of countable rank.
@article{FPM_1999_5_3_a17,
author = {L. V. Shabunin},
title = {On elementary equivalence of free quasigroups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {885--901},
year = {1999},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a17/}
}
L. V. Shabunin. On elementary equivalence of free quasigroups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 885-901. http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a17/