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Unique Factorization Domains in Commutative Algebra

Huang, Yongjian
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Abstract
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.
Date
2021-05-20
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Department of Mathematics, University of Kansas
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Mathematics Scholarly Works
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Unique Factorization Domains in Commutative Algebra.pdf
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Unique factorization domains, Commutative algebra
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https://hdl.handle.net/1808/31857
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