Set Theory Commons^™

Algebraic Structures And Variations: From Latin Squares To Lie Quasigroups, Erik Flinn

All NMU Master's Theses

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.