Why is $\mathbb{Z}[\sqrt{-5}]$ an integral domain?
24413
Why is $\mathbb{Z}[\sqrt{-n}], n\ge 3$ not a UFD?
147722
Is there a nice example of integral domain $R$ and $s,t \in R$, with $Rs \cap Rt$ not principal but lcm($s,t$) exists?
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
66238
Proving $\mathbb{Z}[\sqrt {10}]$ is not a UFD
90599
Trouble with proving $A$ is an integrally closed domain $\Rightarrow$ $A[t]$ is integrally closed domain
74139
Subrings of integral domains have the same identity element.
58717
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
141659
Every field is an integral domain
102914
Integral domain that is not a factorization domain
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
84149
Prove that an infinite ring with finite quotient rings is an integral domain
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
112345
In an Integral Domain is it true that $\gcd(ac,ab) = a\gcd(c,b)$?
128550
Algebraic field extension and intermediate integral domain
102074
where does the term "integral domain" come from?
551
Why is a finite integral domain always field?