Are all integral domains in which all irreducible elements are prime G.C.D domains?
114480
Example of a domain where all irreducibles are primes and that is not a GCD domain
132289
Associates in Integral Domain
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
19740
What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
121986
Do the Laurent polynomials over $\mathbb{Z}$ form a principal ideal domain?
141410
Injective integral domains are fields
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
551
Why is a finite integral domain always field?
101637
Let $R$ be an integral domain. If $x \in R$ is prime, then $x$ is irreducible.
116049
Every irreducible Polynomial is primitive or irreducible constant
138851
Euclid's Lemma in a PID: irreducibles are prime: $ \pi\mid ab\Rightarrow \pi\mid a\,$ or $\pi\mid b$
120147
For what prime numbers $p$ is $x^2+x+1$ irreducible in $\mathbb{F}_p[X]$
52602
$K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal
112345
In an Integral Domain is it true that $\gcd(ac,ab) = a\gcd(c,b)$?