New posts in Integer Rings

Is $1+\sqrt{5}$ a prime under the $\mathbb{Z}[{\sqrt{5}}]$ domain?

Why is $\mathcal{O}_K$ the ring to be considered for factorizing integers?

Is a ring of integers necessarily Noetherian?

Finding the ring of integers of $\Bbb Q(\sqrt[4]{2})$

$\mathbb Z[\sqrt{-5}]$ is not a UFD

Is $\mathcal{O}_K$ always isomorphic to $\mathbb{Z}[X]/(f(x))$, for some irreducible polynomial $f(x)$?

Infinitely many primes in the ring of integers

Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$