$\mathbb{C}[x,y]/\langle y^2-g(x) \rangle$ is integrally closed in its fraction field.
108123
Why is $\mathbb{C}[x,y]/(y^2 - x^3 + 1)$ normal?
20539
Differential form is closed if the integral over a curve is rational number.
36142
What is $\mathbb Z \oplus \mathbb Z / \langle (2,2) \rangle$ isomorphic to?
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
114152
Intermediate fields between $\mathbb{Z}_2 (\sqrt{x},\sqrt{y})$ and $\mathbb{Z}_2 (x,y)$
46047
Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain
18036
Localization by a non-nilpotent as a polynomial quotient
42108
Prove that $c_0$ is closed in $\ell^\infty$
64502
On the meaning of being algebraically closed
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
49126
For which $f,g \in k[t]$, $k[f,g]$ is integrally closed?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
2626
Show $\langle a^m \rangle \cap \langle a^n \rangle = \langle a^{\operatorname{lcm}(m, n)}\rangle$
52642
Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$
139463
Commutative integral domain does not finitely generate its field of fractions
37414
Question on Groups $G=\langle x,y|x^4=y^4=e,xyxy^{-1}=e\rangle$
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$