Date of Award

7-2021

Degree Type

Thesis

Degree Name

Master of Science

Department

Math and Computer Science

Program

Mathematics (MS)

First Advisor/Chairperson

Joshua Thompson

Abstract

We give an introduction to the problem of computable algebras. Specifically, the algebras of loops and groups. We start by defining a loop and group, then give some of their properties. We then give an overview of comptability theory, and apply it to loops and groups. We conclude by showing that a finitely presented residually finite algebra has a solvable word problem.

Access Type

Open Access

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