Need to Prove Your Ring is NOT a UFD?

You're given a ring $R$ and are asked to show it's not a UFD. Where do you begin? One standard trick is to apply the Rational Roots Theorem. In its most general statement, one of the theorem's hypotheses is that your ring is a UFD. So, by way of contradiction, apply the theorem and see what you get!

Related Posts

What's a Transitive Group Action?

The Back Pocket

Two Ways to be Small

The Back Pocket

Motivation for the Tensor Product

The Back Pocket
Leave a comment!