Principal Ideal Domains скачать в хорошем качестве

Principal Ideal Domains

In this video, we introduce the notion of a principal ideal domain. We prove that maximal ideals in PID correspond to irreducible elements and that in a PID all irreducible elements are prime. This is lecture 16 (part 1/3) 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/1U83Z... 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.