A Short Proof that Rational Algebraic Integers are Integers

Summary

We present a short proof that a rational algebraic integer is an integer.

MSC:

• 11R04

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Alan Roche

ALAN ROCHE (MR Author ID: 633535) studied at University College Dublin and the University of Chicago, and has taught at the University of Oklahoma for more years than he is willing to mention. The number of cats in his household, while changing over time, has always been a positive rational algebraic integer—and only briefly a root of unity.