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Organizers |
Lattices of classes of groupoids with one-sided quasigroup conditions
by
Jan Gałuszka
Silesian University of Technology, Gliwice, Poland
It is shown that two classes of groupoids satisfying certain one-sided quasigroup conditions, namely the classes of one-sided torsion groupoids and of one-sided finite exponent groupoids, are complete lattices, both isomorphic to the lattice of Steinitz numbers with the divisibility relation.
Date received: May 10, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawc-53.