Quasigroups, right quasigroups, coverings and representations

Date
1993
Authors
Fuad, Tengku
Major Professor
Advisor
Jonathan D. H. Smith
Committee Member
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Altmetrics
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Research Projects
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Mathematics
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Mathematics
Abstract

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.

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