[illivah]

Thanks!

Trying to read that is like trying to learn an entire new language by reading a sentence in it. Way too many words to already understand what it's even defining (commutative ring, irreducible polynomials, UFDs, principle ideal, nozero prime ideal... and I'm not following why p divides ab in R... or even exactly what that means).

Searching youtube kahn academy and numberphile, but not turning up anything. exactly how high level is this?

[mrkgnao]

This is usually part of an introductory undergrad course in algebra. What you're looking for is called "ring theory".

Michael Artin's Algebra is a good, concrete book with tons of motivation and zero prerequisites. Wanna try it? ;)

[DazzlePatnts]

I'm currently taking a course on this material in 2nd year undergrad.