New posts in Integral Domain

Prove that in any GCD domain every irreducible element is prime

A fraction field is not finitely generated over its subdomain

A subring of the field of fractions of a PID is a PID as well.

Prove that an infinite ring with finite quotient rings is an integral domain

$a^m=b^m$ and $a^n=b^n$ imply $a=b$

Why is a finite integral domain always field?