Unique Factorization Domains in Commutative Algebra
Issue Date
2021-05-20Author
Huang, Yongjian
Publisher
Department of Mathematics, University of Kansas
Type
Project
Degree Level
M.A.
Discipline
Mathematics
Rights
Copyright 2021 Yongjian Huang
Metadata
Show full item recordAbstract
In this project, we learn about unique factorization domains in commutative algebra. Most importantly, we explore the relation between unique factorization domains and regular local rings, and prove the main theorem: If R is a regular local ring, so is a unique factorization domain.
Description
This project was submitted to the Mathematics department in partial fulfillment of the requirements for the degree of Master of Arts.
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