Trimedial quasigroups and generalized modules I.
Tomáš Kepka, Petr Němec (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Commutative Moufang loops and distributive groupoids of small orders”
Trimedial quasigroups and generalized modules I.
Quasigroups which satisfy certain generalized forms of the Abelian identity
Tomáš Kepka (1975)
Časopis pro pěstování matematiky
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On Mikheev's construction of enveloping groups
J. I. Hall (2010)
Commentationes Mathematicae Universitatis Carolinae
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Mikheev, starting from a Moufang loop, constructed a groupoid and reported that this groupoid is in fact a group which, in an appropriate sense, is universal with respect to enveloping the Moufang loop. Later Grishkov and Zavarnitsine gave a complete proof of Mikheev's results. Here we give a direct and self-contained proof that Mikheev's groupoid is a group, in the process extending the result from Moufang loops to Bol loops.