Gröbner Bases and Systems of Polynomial Equations

Author

Rachel Holmes, Minnesota State University, Mankato

Abstract

This paper will explore the use and construction of Gröbner bases through Buchberger's algorithm. Specifically, applications of such bases for solving systems of polynomial equations will be discussed. Furthermore, we relate many concepts in commutative algebra to ideas in computational algebraic geometry.

Advisor

Dr. Wook Kim

Committee Member

Dr. Ruijun Zhao

Committee Member

Dr. Brandon Rowekamp

Date of Degree

2020

Language

english

Document Type

APP

Degree

Master of Science (MS)

Department

Mathematics and Statistics

College

Science, Engineering and Technology

Recommended Citation

Holmes, R. (2020). Gröbner Bases and Systems of Polynomial Equations [Master’s alternative plan paper, Minnesota State University, Mankato]. Cornerstone: A Collection of Scholarly and Creative Works for Minnesota State University, Mankato. https://cornerstone.lib.mnsu.edu/etds/1079/

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.