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Jun
11
answered Does every bijection of $\mathbb{Z}^2$ extend to a homeomorphism of $\mathbb{R}^2$?
Jun
7
answered $A^2 B=A $ iff $B^2 A=B$
Jun
4
answered Can there be a function holomorphic around $0$ w/ this property?
Jun
3
answered Looking For a Neat Proof of the Fact that the Grassmannian Manifold is Hausdorff
May
31
answered Maximal order of elements of $\textrm{SL}(n, \mathbb{Z})$
May
27
answered Redundance of the Smoothness of the Inversion Map in the Definiton of a Lie Group.
May
5
answered Span of Nilpotent Matrices
May
5
answered Matrices $P$ such that $A$ is symmetric $\Longrightarrow $ $PAP^{-1}$ is symmetric
Apr
12
answered Determine the units of the ring $A= \mathbb Z[X]/(X^3)$ and the structure of the group $A^*$
Apr
6
answered How to prove that $ \sum_{k=1}^{n-1} \frac{1}{1-e^{2 \pi i k/n}} = \frac{n-1}{2}$?
Apr
5
answered If $a_i\geq 0,$ $\sum\limits_{n=1}^\infty a_n$converges, prove $\sum\limits_{n=1}^\infty\frac{a_1+a_2+\cdots+a_n}{n}$diverges.
Apr
1
answered Prove that $ \int_0^\infty (\frac{\sin x}{x})^2 = \frac{\pi}{2}$.
Mar
31
answered Let $|f(z)| \to \infty$ as $|z| \to \infty$, prove that $f(\mathbb{C})= \mathbb{C}$?
Mar
30
answered How do I show $SO(n)$ is open and closed in $O(n)$?
Mar
27
answered If R is a PID, is it true that $R/\ker \phi$ is also a PID?
Mar
22
answered Normal Subgroups of $SU(n)$
Mar
21
answered Every nilpotent left ideal is contained in a nilpotent 2 sided ideal.
Mar
20
answered Why is $\ker\omega$ integrable iff $\omega\wedge d\omega=0$?
Mar
20
answered Proof of Proposition 2.4 in Atiyah-MacDonald
Mar
20
answered Showing when a permutation matrix is diagonizable over $\mathbb R$ and over $\mathbb C$