$(2, 1+\sqrt{-5})$ is a prime ideal in $\mathbb{Z}[\sqrt{-5}]$
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
110984
Ideals and prime ideals in a commutative ring.
121255
Ideals of the ring of rational numbers with odd denominators
67669
Prime ideals of a finite direct product ring
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
138882
A prime poset of ideals
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
138752
Prove the Radical of an Ideal is an Ideal
95111
Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers.
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
86807
The units of $\mathbb Z[\sqrt{2}]$
105442
Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$
110022
Showing prime and maximal ideal
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
104789
How to tell an ideal of integer polynomial ring is principal?
43300
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension