Are $k[x^2,x^3+x]$ and $k[x^3,x^2+x]$ UFD's?
49126
For which $f,g \in k[t]$, $k[f,g]$ is integrally closed?
99502
Question on the coefficients of $(1+x+x^2+x^3+x^4)^{496}$
129305
Is any UFD also a PID?
63191
What is the $k-$th derivative of $ \frac{1}{1-x^2}$?
68790
Do we have $K(\beta)=K(\beta^2)$ for field extension of odd degree?
48127
Are there infinitely many $A\in \mathbb{C}^{2 \times 2}$ satisfying $A^3 = A$?
75349
Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$
34714
What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
17310
Can $f(x)=|x|^3$ be differentiated
25058
Is $R=K[|x^3,x^2y,xy^2,y^3|]$ a Gorenstein or a regular ring?
28987
One-dimensional [Noetherian] UFD is a PID
141418
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
17508
Knowing $|z|$ and $|w|$ (and possibly $z\overline{w}$), what are $|z+w|^2$, $|zw|^2$, $|z-w|^2$, $|z/w|^2$?
95942
$k[x]/(x^n)$ module with finite free resolution is free
155991
Is it the case that every quotient ring ${F[x]}/{(p(x))}$ is a PID?
15626
Relations of a~b iff b = ak^2
144222
If $f(x + 1) + f(x − 1) = f(x), \forall x \in \mathbb{R}$,then how to find $k$ such that $f(x + k) = f(x)$?