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Matematicheskie Zametki, 1978, Volume 23, Issue 4, Pages 521–526 (Mi mzm8167)  
Generalization of fischer's theorem for distributive quasigroups

N. I. Sandu

Institute of Mathematics and Computation Center, Academy of Sciences of the Moldavian SSR
Full-text PDF (459 kB)
Abstract: We generalize Fischer's well-known theorem which asserts that the right associated group of a finite distributive quasigroup is solvable. We prove that the associated group of a finitely generated distributive quasigroup is solvable and that the associated group of any distributive quasigroup is locally solvable.
Received: 28.06.1977
English version:
Mathematical Notes, 1978, Volume 23, Issue 4, Pages 285–287
DOI: https://doi.org/10.1007/BF01786957
Bibliographic databases:
UDC: 519.48
Language: Russian
Citation: N. I. Sandu, “Generalization of fischer's theorem for distributive quasigroups”, Mat. Zametki, 23:4 (1978), 521–526; Math. Notes, 23:4 (1978), 285–287
Citation in format AMSBIB
\Bibitem{San78}
\by N.~I.~Sandu
\paper Generalization of fischer's theorem for distributive quasigroups
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 4
\pages 521--526
\mathnet{http://mi.mathnet.ru/mzm8167}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=480826}
\zmath{https://zbmath.org/?q=an:0403.20047|0388.20055}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 4
\pages 285--287
\crossref{https://doi.org/10.1007/BF01786957}
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