Date of Award

2009

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Wallace, Laura

Second Advisor

Sarli, John

Third Advisor

Okon, Jim, and Williams, Peter

Abstract

The purpose fo this project is to study ideals in polynomial rings and affine varieties in order to establish a connection between these two different concepts. Doing so will lead to an in depth examination of Groebner bases. Once this has been defined, step will be outlined that will enable the application of the Groebner Basis Algorithm to geometric problems.

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