Let $A\subset B$ be an inclusion of $\mathbb{Z}/n\mathbb{Z}$-graded noetherian domains. Is the integral closure of $A$ in $B$ also $\mathbb{Z}/n\mathbb{Z}$-graded? This is true for the $G$-graded case with $G$ a nice torsion-free integral commutative monoid, see Theorem 2.3.2 of [Huneke-Swanson, ...

Any closed form for series like $$F(x)=\sum_{p=2}^{\infty}x^p,\quad p\text{ is prime}$$ or $$F(x)=\sum_{i=0}^{\infty}x^{i!}\quad ?$$ More generally, we can obtain a power series from decimal expansion of a number $r$ (with $0< r<1$) by replacing $$\left(\frac{1}{10}\right)^i$$ with $$x^i$$ like $...

If a poster includes in the title some formula in enclosed between $$, like $$x^2+y^2=z^2$$ $$x^2+y^2=z^2$$ the title of the question will take up more space in various lists of questions, like here or here. I guess that we can agree that this is not a good way to use MathJax (LaTeX) in titles. ...