Prove that $\mathbb{Z}[\sqrt{2}]$ is isomorphic to $\mathbb{Z}[x]/(x^2-2)$?
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
146470
Show $\mathbb{Z}[\sqrt{6}]$ is a Euclidean domain
62485
How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
153204
Euclidean domain $\mathbb{Z}[\sqrt{d}]$
38549
$\mathbb{Q}(\sqrt{n}) \cong \mathbb{Q}(\sqrt{m})$ iff $n=m$
136855
Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?