Date of Award
Master of Arts in Mathematics
The topics explored in this project present and interesting picture of close connections between algebra and geometry. Given a specific system of polynomial equations we show how to construct a Groebner basis using Buchbergers Algorithm. Gröbner bases have very nice properties, e.g. they do give a unique remainder in the division algorithm. We use these bases to solve systems of polynomial quations in several variables and to determine whether a function lies in the ideal.
Ahlgren, Joyce Christine, "Ideals, varieties, and Groebner bases" (2003). Theses Digitization Project. 2282.