New posts in Algebraic Number Theory

What is the ideal class group of the ring $\mathbb{R}[x,y]/(x^2+y^2-1)$?

Norm of an element at a localization

Prove no zero divisors of a ring with a radical in $\mathbb{Z}_7$

What is $\mathbb{Q}_3(\sqrt{-6})^{\times}/\left(\mathbb{Q}_3(\sqrt{-6})^{\times}\right)^3$?

How to prove $\sum_{i=1}^{p-1}\sqrt[p]{\frac{i}{p}} $ is an algebraic integer?

Does this Galois group determine the class ideal class group?

Determine the generator of an ideal of ring of integers

degree extension over filed of $p$-adic numbers

Is the Field Norm of a unit a unit?

Field Extensions with $\sqrt{2}$