Date of Award
Doctor of Philosophy
Jonathan D. H. Smith
For a fixed quasigroup Q, equivalences are established between the following categories: (i) the category of modules over the quasigroup; (ii) the category of representations of a stabilizer in the universal multiplication group; (iii) the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of abelian groups. A generalization to the right quasigroup case is also described. The equivalences are specialized to varieties, in particular the variety of Quandles.
Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/
Tengku Simonthy Renaldin Fuad
Fuad, Tengku Simonthy Renaldin, "Quasigroups, right quasigroups, coverings and representations " (1993). Retrospective Theses and Dissertations. 10427.