On primality of an element in the ring $\mathbb Z[\omega]$
42875
The prime elements of the ring $ \mathbb{Z} \! \left[ \dfrac{i \sqrt{3} - 1}{2} \right] $.
50530
Finding Galois group of $K=\Bbb{Q}(\omega,\sqrt2)$, showing that $K=\Bbb{Q}(\omega\sqrt2)$, and finding $\operatorname{min}(\omega\sqrt2,\Bbb{Q})$
128652
Subgroups of $\mathbb Z \times(\mathbb Z/n\mathbb Z)$
5699
The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
110984
Ideals and prime ideals in a commutative ring.
105313
Existence of minimal prime ideal contained in given prime ideal and containing a given subset
51578
Noetherian ring with finitely many height $n$ primes
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set
15904
Prime ideal and nilpotent elements
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
40114
Factor into irreducibles in $\mathbb{Z}[\omega]$ (Eisenstein Integers).
119051
Show that only finitely many positive integers $n$ have the property that for all $m$ for which $1<m<n$ and $\text{gcd}(m,n) = 1$, $m$ is prime.
136804
Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
37929
Classification of prime ideals of $\mathbb{Z}[X]$
35105
Density of ring of algebraic integers in $\mathbb C$