How can a prime element in a Ring be proven as irreducible?

NoodleDurh · Jan 25, 2014

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

Office_Shredder · Jan 27, 2014

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?

How can a prime element in a Ring be proven as irreducible?

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