Splitting Fields
Channel: Andrew Misseldine
Date: 2022-03-24

In this video, we introduce, with examples, the notion of a splitting field. We prove that splitting fields always exist and are unique inside a fixed algebraic closure.

This is lecture 29 (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/1RiByZivi8dQkWJMlZP9yHtUpG0IwK5Y2/view

This lecture is based upon Sections 21.2 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.