Factor Ring R/A is an Integral Domain If and Only If A is a Prime Ideal in R, a Commutative Ring wit

In a commutative ring R with unity, the factor ring (a.k.a. quotient ring) R/A is an integral domain if and only if A is a prime ideal. What is the idea of the proof of this? #AbstractAlgebra #RingTheory #FactorRing #QuotientRing Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter:   / billkinneymath   🔴 Follow me on Instagram:   / billkinneymath   🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ 🔴 Desiring God website: https://www.desiringgod.org/ AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.