New posts in Unique Factorization Domains

UFD yields height of certain primes at most $1$

Quotient $K[x,y]/(f)$, $f$ irreducible, which is not UFD

Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.

Is the coordinate ring of SL2 a UFD?

Does $A$ a UFD imply that $A[T]$ is also a UFD?

About the localization of a UFD

Prove that a UFD is a PID if and only if every nonzero prime ideal is maximal

Why is $\mathbb{Z}[\sqrt{-n}], n\ge 3$ not a UFD?

Motivation for Eisenstein Criterion