Degree Type

Dissertation

Date of Award

1993

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Jonathan D. H. Smith

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.

DOI

https://doi.org/10.31274/rtd-180813-9708

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Tengku Simonthy Renaldin Fuad

Language

en

Proquest ID

AAI9321144

File Format

application/pdf

File Size

66 pages

Included in

Mathematics Commons

Share

COinS