New posts in Algebraic Number Theory

Understanding the Proof that Algebraic Integers are a Subring of $\Bbb{C}$

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

Is there a pattern to the signs of the norms of quadratic fundamental units?

Is a ring of integers necessarily Noetherian?

What is the intuition for $p$-adic numbers in wiki-sense?

$\textbf Z[\sqrt{pq}]$ is not a UFD if $\left( \frac{q}p \right) = -1$ and $p \equiv 1 \pmod 4$.

Show that every prime $p$ in $\textbf Z[i]$ divides some rational prime

$a+b\sqrt{-3}$ and $a-b\sqrt{-3}$ are coprime in $\mathbb{Z}+ \omega \mathbb{Z}$

$\mathbb{Z}[\sqrt{11}]$ is norm-euclidean

Can someone explain tame and wild ramification in cubic integer rings?