Units in $\mathbb Z[\sqrt{2}]$
86807
The units of $\mathbb Z[\sqrt{2}]$
23048
The ring $\mathbb Z[\sqrt{-2}]= \{a+b\sqrt{-2} ; a\in \mathbb Z,b\in \mathbb Z \}$ has a Euclidean algorithm
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
108550
Elements of $\mathbb Q(2^{1/3})$
31382
Units of Gaussian integers
146470
Show $\mathbb{Z}[\sqrt{6}]$ is a Euclidean domain
8434
Order of $\mathbb{Z}[i]/(1+i)$
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
102112
Idempotents in $\mathbb Z_n$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
143069
What are the direct summands in $\mathbb{Z}^n$?
75970
$\mathbb Z[1/2]$ is not finitely generated?
115282
Showing that $\mathbb Q(\sqrt{17})$ has class number 1
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
11935
Is $\mathbb{Z} \left[ \frac{1+i \sqrt{7}}{2} \right]$ euclidean?