The units in $\mathbb{Z}[\zeta ],\zeta=e^{\frac{2\pi i}{3}}$
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$
15477
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
22563
Units and Nilpotents
130104
Show $4x^2+6x+3$ is a unit in $\mathbb{Z}_8[x]$ (inverting unit + nilpotent)
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
44802
The $n$ complex $n$th roots of a complex number $z$
11935
Is $\mathbb{Z} \left[ \frac{1+i \sqrt{7}}{2} \right]$ euclidean?
19884
The units of $\mathbb Z_4[x]$
148550
Units in quotient ring of $\mathbb Z[X]$
35691
$\mathbb Z[\sqrt 3]$ contains infinitely many units
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
30172
Why is the order of $\mathbb{Z}[i]/\langle 3+i\rangle$ equal to 10?
54432
What can be said about $\prod_{s=2}^{\infty} \zeta(s) $?
40114
Factor into irreducibles in $\mathbb{Z}[\omega]$ (Eisenstein Integers).