List questions from integral-dependence | MathQa

$x$ is integral over $R$ if and only if for every minimal prime $\mathfrak q$ of $S$, $x$ is integral over the residue domains

Published on 13 Jan 2025 - 0:43

Equivalent conditions for integral element

Published on 13 Jan 2025 - 0:17

How to compute the integral closure of $\Bbb{Z}$ in $\mathbb Q(\sqrt[n]{p})$?

Published on 13 Jan 2025 - 0:31

What is the integral closure of the integers in the real numbers?

Published on 13 Jan 2025 - 0:31

Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$

Published on 13 Jan 2025 - 0:26

Every element of a ring $A$ is integral over the ring $A$. How?

Published on 13 Jan 2025 - 0:28

Let $A\subset B$ be an integral ring extension, and $p\in\operatorname{Spec}A$. Then there exists $q\in\operatorname{Spec}B$ such that $q\cap A=p$.

Published on 13 Jan 2025 - 1:19

Integral Dependence

Published on 12 Jan 2025 - 17:20

Going Up Theorem - Examples? Witnesses?

Published on 13 Jan 2025 - 0:13

Working out the normalization of $\mathbb C[X,Y]/(X^2-Y^3)$

Published on 13 Jan 2025 - 0:25