Geodesic
Lattices of classes of groupoids with one-sided quasigroup conditions
Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 31-40

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It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of onesided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
Keywords: right quasigroup, left quasigroup, Steinitz numbers.
Mots-clés : Groupoid, quasigroup 
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     title = {Lattices of classes of groupoids with one-sided quasigroup conditions},
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Jan Gałuszka. Lattices of classes of groupoids with one-sided quasigroup conditions. Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 31-40. http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a3/