# algebraic integer

## Primary tabs

Keywords:
algebraic number theory
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### may wish to generalize

You might want to add the simple generalization to an extension of the rationals that isn't all of C:

Let K be an extension of Q. A number $\alpha \in K$ is called an algebraic integer of K it is the root of a monic polynomial with coefficients in $\mathbb{Z}$.

### Re: may wish to generalize

Good idea, thanks.