Factorization and Divisibility (Ring Theory)
Channel: Andrew Misseldine
Date: 2022-01-27

In this video, we introduce the notation of factorization and divisibility in commutative rings with unity, specifically integral domains. We define the notation of an associate, irreducible, or prime element in a ring. We then prove that a prime element in an integral domain is always irreducible.

This is lecture 16 (part 1/5) of the lecture series offered by Dr. Andrew Misseldine for the course Math 4230 - Abstract Algebra II at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1UVadrcGNiVQnWfCQe3YMbNF7loQMJurL/view

This lecture is based upon Section 18.2 of Abstract Algebra: Theory and Applications (http://abstract.ups.edu/) by Tom Judson. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.