Thread: In an integral domain

show: if p is a prime in an integral domain, then p is irreducible.

waah.. thanks!!

Originally Posted by kalagota

show: if p is a prime in an integral domain, then p is irreducible.

waah.. thanks!!

This problem is easy, it just uses the definition of "prime" and "irreducible". Say that p = a*b where (p is a non-zero non-unit) now argue that one of these numbers a,b needs to be units.

Originally Posted by ThePerfectHacker

This problem is easy, it just uses the definition of "prime" and "irreducible". Say that p = a*b where (p is a non-zero non-unit) now argue that one of these numbers a,b needs to be units.

that is where i am stuck..

EDIT: got it already.. thanks TPH for the response!!