Date of Award

5-2021

Degree Type

Thesis

Degree Name

Master of Science

Department

Math and Computer Science

Program

Other

Program

Mathematics

First Advisor/Chairperson

Daniel Rowe

Abstract

In this Master's Thesis we give an overview of the algebraic structure of sets with a single binary operation. Specifically, we are interested in quasigroups and loops and their historical connection with Latin squares; considering them in both finite and continuous variations. We also consider various mappings between such algebraic objects and utilize matrix representations to give a negative conclusion to a question concerning isotopies in the case of quasigroups.

Access Type

Open Access

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