For which value of $n$ the ring $\mathbb{Z}[\sqrt{n}]$ is a UFD?
24413
Why is $\mathbb{Z}[\sqrt{-n}], n\ge 3$ not a UFD?
87617
Ring of $\mathbb{Z}_2$-valued functions
5699
The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
140497
Irreducibles are prime in a UFD
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
143069
What are the direct summands in $\mathbb{Z}^n$?
63568
Ring with finitely many zerodivisors
75970
$\mathbb Z[1/2]$ is not finitely generated?
31451
Proving a subring of $\mathbb{Q}$ containing $\mathbb{Z}$ is a PID
52081
Why is not the ring $\mathbb{Z}[2\sqrt{2}]$ a unique factorization domain?
35691
$\mathbb Z[\sqrt 3]$ contains infinitely many units
31933
$x^2 = 1$ in the ring $\mathbb{Z}/n \mathbb{Z}$
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
38549
$\mathbb{Q}(\sqrt{n}) \cong \mathbb{Q}(\sqrt{m})$ iff $n=m$
28987
One-dimensional [Noetherian] UFD is a PID