Zorn's Lemma
Channel: Andrew Misseldine
Date: 2022-03-07

In this video, we discuss the topics of Zorn's Lemma, an equivalent to the Axiom of Choice in standard set theory. We explain how Zorn's Lemma is commonly used in the framework of abstract algebra and use it to specifically prove that all rings with unity have a maximal ideal.

This is lecture 23 (part 1/2) 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/1Sz6RpvzfXab4dXRhYB6gx_n_0iR0keZw/view

This lecture is based upon Sections 20.3 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.