Will $Z[X] / (x^2 +1)$ be a PID?
33781
Is $\mathbb{Z}[x]/(x^2+1)$ isomorphic to $\mathbb{Z}[i]$?
155991
Is it the case that every quotient ring ${F[x]}/{(p(x))}$ is a PID?
16420
When does $\sqrt{wz}=\sqrt{w}\sqrt{z}$?
154837
mapping properties of $(1−z)^i$
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
153954
When a holomorphy ring is a PID?
36480
$\frac{1 - e^{iz}}{z^2} = \frac{-iz}{z^2} + E(z)$ where $E(z)$ is bounded as $z \rightarrow 0?$
138851
Euclid's Lemma in a PID: irreducibles are prime: $ \pi\mid ab\Rightarrow \pi\mid a\,$ or $\pi\mid b$
98587
$\mathbb Z [X] / (X)$ isomorphic to $\mathbb Z[X] / (X+1)$ isomorphic to $\mathbb Z [X] / (X+2015)$
25633
Is the function $f(z)=xy+iy$ analytic?
23153
$\bmod p\!:\ x^2\equiv 1\iff x\equiv \pm1\ $ for prime $p$
121845
Quotient of polynomials, PID but not Euclidean domain?
62941
1/z on an annulus has no anti-derivative
76202
Sufficient conditions for being a PID
15886
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
102282
Let $R$ be a PID, and let $\pi\in R$ be prime. Is it $R/\langle\pi\rangle \times R/\langle \pi\rangle$ a cyclic $R$-module?
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$