# Yeah, it is Number Theory!

1. Jan 25, 2014

### NoodleDurh

How does one show that a prime element in a Ring is irreducible and how does one show that $|| x || = 1$ iff x is a unit.

okay from my knowledge I know that units are invertible elements, so how does the norm of x make it 1... maybe I am not too sure about this

Last edited by a moderator: Jan 25, 2014
2. Jan 27, 2014

### Office_Shredder

Staff Emeritus
For your first question, try doing a proof by contradiction. Let p be a prime element, and suppose it is reducible. What can you do with that?