If $R=F[x,y,z]/(x^2-y^2z)$ why $\operatorname{trdeg}_F R=2$?
44998
Compute integral closure of $F[x,y,z]/(x^2-y^2z)$.
95145
Does $\exp(2ir\pi)$ equal $1$? What's wrong?
10068
$f(x,y)= e^{-\frac{1}{x^2+y^2}}$ when $(x,y)\neq (0,0)$ and $f(0,0)=0$.
143610
If $f^3=\rm id$ then it is identity function
28145
What is $\Gamma(z) \Gamma(\bar {z})$?
34343
Determine all $f : \mathbb R \rightarrow \mathbb R$ such that $f(f(x) + y) = f(x^2 - y) + 4yf(x)$.
127000
When does $V = \ker(f) \oplus \operatorname{im}(f)$?
119477
Understanding the Definition of $\int_\gamma f\ \overline{dz}$
36996
If $x^{2}-x\in Z(R)$ for all $x\in R$, then $R$ is commutative.
47385
Is $F = G\dfrac{{m_1}{m_2}}{r^2}$ really true?
71708
Proving that $\left( \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} \right) \lvert f(z) \rvert^2 = 4 \lvert f'(z) \rvert^2$
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
143100
Identify the plane defined by $|z-2i| = 2|z+3|$
41398
For a ring $R$, does $\operatorname{End}_R(R)\cong R^{\mathrm{op}}$?
6202
$V$ be a vector space , $T:V \to V$ be a linear operator , then is $\ker (T) \cap R(T) \cong R(T)/R(T^2) $?
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$