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.
Dr. Wook Kim
Dr. Ruijun Zhao
Dr. Brandon Rowekamp
Date of Degree
Master of Science (MS)
Mathematics and Statistics
Science, Engineering and Technology
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/
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