Why is $ \mathrm{Frac} ( A / \mathfrak{p} ) = A_{\mathfrak{p}} / \mathfrak{p} A_{\mathfrak{p}} $?
98818
Quotient ring of a localization of a ring
103061
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
43462
Disprove $\mathcal{P}(A\Delta B) \setminus \{\emptyset\} = \mathcal{P}(A) \Delta\mathcal{P}(B) $. Is my proof good?
62524
Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even
101491
If $\frac{a}{|z_2-z_3|}=\frac{b}{|z_3-z_1|}=\frac{c}{|z_1-z_2|}$, then why is $\frac{a^2}{z_2-z_3}+\frac{b^2}{z_3-z_1}+\frac{c^2}{z_1-z_2}=0$?
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
1794
$\exp(A+B)$ and Baker-Campbell-Hausdorff
1641
Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
118161
Proof of dividing fractional expressions
43430
What exactly does $\frac{dx}{dy}$ mean?
8711
Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
31961
Given fields $M/E/F$, why does $[M:F] = [M:E][E:F]$?
104512
Why is $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ an integer?
114217
What is the value of $\operatorname{Arg}(\frac{z}{\bar{z}})$?
140825
$\sum_{n=1}^{p-1}{\frac{1}{n}} = \frac{A_p}{B_p}$ What is $A_p$ (mod $p^2$) where $\frac{A_p}{B_p}$ is a reduced form fraction?
114346
Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
18530
Given 4 integers, $a, b, c, d > 0$, does $\frac{a}{b} < \frac{c}{d}$ imply $\frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}$?