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Northern Michigan University
Algebraic Structures and Variations: From Latin Squares to Lie Quasigroups
Abstract
dc:description.abstract<p>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.</p>
Degree
thesis:*- Name thesis:degree_name
- Master of Science
- Level thesis:degree_level
- Thesis
- Discipline thesis:degree_discipline
- Math and Computer Science
- Year dc:date.available
- 2021
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Flinn, Erik
- Contributors dc:contributor
-
- Daniel Rowe
Subjects
dc:subject × 9Identifiers
dc:identifier.*- Repository record dc:identifier
- https://commons.nmu.edu/theses/654
- OAI identifier oai:identifier
- oai:commons.nmu.edu:theses-1704