Date of Award

2011

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Llosent, Giovanna

Second Advisor

Hasan, Zahid

Third Advisor

Okon, James, and Williams, Peter

Abstract

This project is a study of the properties of the modules Z₂S₃ and Z₅S₃, which are examined both as modules over themselves and as modules over their respective integer fields. Each module is examined separately since they each hold distinct properties. The overall goal is to determine the simplicity and semisimplicity of each module.

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