Welcome to mathimatikoi.org forum; Enjoy your visit here.

## Find an integral basis

Number theory
Nikos Athanasiou
Articles: 0
Posts: 6
Joined: Thu Nov 19, 2015 7:27 pm

### Find an integral basis

Hello everyone! This is my first post. I salute the initiative of creating a forum solely dedicated to university mathematics. I feel it is something that has been missing for a long time.

That being said, here's a nice exercise in number fields :

Let $K = \mathbb{Q} (\sqrt{p}, \sqrt{q})$ where $p \equiv q \equiv 3 (\mod 4)$ . Compute an integral basis for $K$.