How to prove that $\mathbb{Z[i]}$ is a UFD
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
138026
To show that $n!f(x) \in \mathbb{Z}[x]$
46211
$(K[x,y,z]/(x^2+y^3+z^7))_{(x,y,z)}$ is a UFD.
153204
Euclidean domain $\mathbb{Z}[\sqrt{d}]$
123024
A Noetherian integral domain is a UFD iff $(f):(g)$ is principal
156727
A step in the proof of Characterization of $W^{1,\infty}$
14759
Prove that $ f(z) = 0 $ for all $ z \in \overline{D}(0,1) $.
24413
Why is $\mathbb{Z}[\sqrt{-n}], n\ge 3$ not a UFD?
95240
Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.
18484
Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.
60208
Proof of property of abelian group
154837
mapping properties of $(1−z)^i$
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
119056
If in a UFD every maximal ideal is principal then it is a PID
139168
Prove that there is an unique $z$ s.t. $f(z) = z$ where $z$ is a complex number
51974
Does the Bezout GCD equation hold in a UFD?