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Fundamentalnaya i Prikladnaya Matematika, 1999, Volume 5, Issue 3, Pages 885–901 (Mi fpm417)  
On elementary equivalence of free quasigroups

L. V. Shabunin

Chuvash State University
Full-text PDF (639 kB)
Abstract: 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.
Received: 01.03.1996
Bibliographic databases:
UDC: 510.6
Language: Russian
Citation: L. V. Shabunin, “On elementary equivalence of free quasigroups”, Fundam. Prikl. Mat., 5:3 (1999), 885–901
Citation in format AMSBIB
\Bibitem{Sha99}
\by L.~V.~Shabunin
\paper On elementary equivalence of free quasigroups
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 3
\pages 885--901
\mathnet{http://mi.mathnet.ru/fpm417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1806863}
\zmath{https://zbmath.org/?q=an:0963.20037}
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