Simple way to prove that $\mathbb{Z}[\sqrt[3]{2}]=\mathcal{O}_{\mathbb{Q}(\sqrt[3]{2})}$
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
51518
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
104300
Help justifying that $\mathbb Q(\sqrt[3]{2})$ is not a splitting field over $\mathbb Q$.
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
27472
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
124564
Prove the ring $a+b\sqrt[3]{2}+c\sqrt[3]{4}$ has inverse and is a field
120183
Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
60665
Meaning of $\mathbb{Z}\left[\sqrt{3}\right]$?
86807
The units of $\mathbb Z[\sqrt{2}]$
61732
Prove any group with 3 elements is isomorphic to $\mathbb{Z}_3$
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?