If $z \in\mathbb { C } $ is an algebraic integer then $\Pi_z \in\mathbb {Z} [X] $.
13147
Proof verification - Minimal polynomial of $\alpha$ has integer coef.s iff its an alg. integer
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
138459
Norm and Algebraic Integers
46821
Finding roots in $\mathbb{Z}_p$
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
132193
Why $\Bbb Z$ = (integers) is an integral domain?
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
31451
Proving a subring of $\mathbb{Q}$ containing $\mathbb{Z}$ is a PID
148310
Showing rational numbers are algebraic
124864
A not free $\mathbb{Z}$-module
116630
Antiderivative $1/z$ on $\mathbb C$
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
13794
$|z_{1} + z_{2}| = |z_{1} - z_{2}| \implies z_{1}/z_{2}$ is Imaginary
39492
Finding $z\in \mathbb C$ with $\sin z = 2$?