Integral closure of $\mathbb{Z}$ in $\mathbb{Q}(\sqrt3)$
11814
Describing integral closure of quadratic number fields
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
108550
Elements of $\mathbb Q(2^{1/3})$
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
107821
The ring of integers of $\mathbf{Q}[i]$
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
151786
Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
79328
Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial
139499
The algebraic closure of a finite field and its Galois group
114152
Intermediate fields between $\mathbb{Z}_2 (\sqrt{x},\sqrt{y})$ and $\mathbb{Z}_2 (x,y)$
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?