Why does a Weil Divisor $ D $ on a scheme $ X $ induce a Weil Divisor $ D_{x} $ on the local scheme $ \text{Spec}(\mathcal{O}_{X,x})$?
100954
Restricting a Weil divisor to a local scheme
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
106313
How Does Modulus Divison Work
17247
Localisation and prime ideals
139582
Converse of "localization at a prime is local"
23037
Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$
25383
Morphism between quotient sheaf ($K_{X}/\mathcal{O}_{X}$) and $\bigoplus_{x\in\mathcal{X}}i_{x,*}(K(X)/\mathcal{O}_{X,x})$
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
5084
When is the completion of a ring a local ring ?
113136
Generators of the ideal correspond to $d$-uple embedding
129184
Krull dimension of this local ring
155750
Why does $\mathbb{C}$ have transcendence degree $\mathfrak{c}$ over $\mathbb{Q}$?
45684
Is quotient of a ring by a power of a maximal ideal local?
141258
Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
155445
What kind of ring $R$ makes $\mathcal O(\mathrm{Proj}\,R[x_0,\cdots,x_n])=R$?
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
140087
The number of divisors