If an integral domain $A$ is integrally closed, then so is $A[T]$
90599
Trouble with proving $A$ is an integrally closed domain $\Rightarrow$ $A[t]$ is integrally closed domain
13983
Show that If $R[X]$ is Euclidean domain then $R$ is a field
143457
Is product of two closed sets closed?
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?
89271
If $F$ is a field, then $F[x]$ is a principal ideal domain proof question
42494
The boundary is a closed set
46047
Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain
45720
Prove that $∂A$ is closed given $∂A = \text{Cl}(A) − \text{Int}(A)$
64502
On the meaning of being algebraically closed
141156
The domain of $\ln(x)^{\ln(x)}$
13174
Show that $A[X]/(aX+b)$ is an integral domain
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
134458
Isomorphisms preserving integral domains and fields
122190
Kernel of $T$ is closed iff $T$ is continuous
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
71479
Is there some elementary proof of invariance of domain?