Date of Award
2003
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
Abstract
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.
Recommended Citation
Ahlgren, Joyce Christine, "Ideals, varieties, and Groebner bases" (2003). Theses Digitization Project. 2282.
https://scholarworks.lib.csusb.edu/etd-project/2282
