New posts in Algebraic Number Theory

Clarifying maps in algebraic number theory

Proving that the norm of an irreducible Gaussian integer is equal to $p$ or $p^2$

Application of Kronecker Weber Theorem

Any element of $\mathbf{Z}[\xi]$ is congruent to an integer modulo $(1-\xi)^2$ if multiplied by a suitable power of $\xi$

How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?

show that $19-5\sqrt[3]{2}-8\sqrt[3]{4}$ is a unit in $\mathbb{Z}[\sqrt[3]{2}]$

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

Ring of algebraic integers as lattice points in the complex plane

A few questions on the Gaussian integers

Polynomials generating the same $p$-adic fields