Date of Award

Spring 5-6-2022

Level of Access Assigned by Author

Open-Access Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics

Advisor

Tyrone Crisp

Second Committee Member

Andrew Knightly

Third Committee Member

Casey Pinckney

Abstract

In this thesis we establish the technique used to construct universal algebras, and apply this technique to construct Leavitt path algebras. We then establish the basic language of category theory. From there we look at the category of modules over Leavitt Path Algebras over a finite graph, and establish a functorial classification of this category.

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