Abstract Algebra | 21. Prime and Maximal Ideals

In this video we discuss prime and maximal ideals. We show that these are precisely the ideals I such that R/I is either a field or an integral domain. More specifically:
1. I is prime iff R/I is an integral domain
2. M is maximal iff R/M is a field.

0:00 Prime Ideals
11:23 Maximal Ideals