New posts in Unique Factorization Domains

Prime ideals in $\mathbb{Z}[X], \mathbb{Q}[X], \mathbb{F}_{19}[X]$.

Question about proving $\mathbb{Z}[i]$ is not UFD

$\textbf Z[\sqrt{pq}]$ is not a UFD if $\left( \frac{q}p \right) = -1$ and $p \equiv 1 \pmod 4$.

Is every PID a UFD?

Can an integral domain have an element that has no square root but has a square root in the field of fractions?

$R = \mathbb{Z}[\sqrt{-41}]$, show that 3 is irreducible but not prime in $R$

Example of GCD in UFD that can't be expressed as linear combination

Is $\mathbb{Z}[\sqrt{15}]$ a UFD?

One-dimensional [Noetherian] UFD is a PID

Ring of integers is a PID but not a Euclidean domain