Date of Award
5-2021
Degree Type
Thesis
Degree Name
Master of Science
Department
Math and Computer Science
Program
Mathematics (MS)
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.
Recommended Citation
Flinn, Erik, "Algebraic Structures and Variations: From Latin Squares to Lie Quasigroups" (2021). All NMU Master's Theses. 654.
https://commons.nmu.edu/theses/654
Access Type
Open Access