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Steven-Owen
  • Member for 12 years, 3 months
  • Last seen more than 11 years ago
302 votes
28 answers
34k views

In the history of mathematics, has there ever been a mistake?

138 votes
46 answers
25k views

What are some examples of a mathematical result being counterintuitive?

19 votes
2 answers
5k views

The closure of an irreducible subset of an irreducible space is irreducible.

15 votes
1 answer
14k views

Three Dimensional Fourier Transform of Radial Function without Bessel and Neumann

15 votes
2 answers
3k views

Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$

12 votes
1 answer
2k views

Cauchy's Integral Formula and Green's Theorem

9 votes
2 answers
899 views

Show that the matrix $A$ with integer entries is injective on the reals to $\mathbb{R}^m$ iff it is injective on the integer lattice.

9 votes
3 answers
2k views

Do complex eigenvalues of a real matrix imply a rotation-dilation?

9 votes
3 answers
4k views

Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.

8 votes
2 answers
2k views

Subspace of Noetherian space still Noetherian

8 votes
3 answers
888 views

Let K/F be a finite extension, given a polynomial in K[x] find another so that their product is in F[x]

6 votes
2 answers
2k views

Classify finitely generated modules over the ring $\mathbb{C}[\epsilon]$ where $\epsilon^2=0$

6 votes
1 answer
111 views

Proving without reciprocity laws that if $p>0$ a prime such $p=1(5)$ then 5 is a quadratic residue mod $p$.

6 votes
2 answers
10k views

Are all finite groups cyclic?

5 votes
3 answers
183 views

Is 3 ever a seventh power mod a prime $p$ if $p\equiv 1 (7)$

5 votes
3 answers
2k views

Show that $\mathbb{Q}^+/\mathbb{Z}^+$ cannot be decomposed into the direct sum of cyclic groups.

5 votes
2 answers
1k views

Finding the irreducible subrepresentations.

5 votes
1 answer
888 views

What is the module $\operatorname{Hom}(M,N)$ where $R=\mathbb{C}[x]$ and $M=R/(x)$ and $N=R/(x-1)$.

5 votes
4 answers
3k views

Quadratic Extension of Finite field

5 votes
1 answer
2k views

Question about Irreducible Polynomials Being Relatively Prime.

5 votes
1 answer
1k views

Harris' AG ex 2.24: projective variety under regular map.

5 votes
1 answer
341 views

Do Groebner bases give the smallest generating set for Ideals?

4 votes
1 answer
336 views

Radical Ideals: Show that $\sqrt{\sqrt{I}+\sqrt{J}}=\sqrt{I+J}$

4 votes
1 answer
2k views

Character of the $n^{\text{th}}$ symmetric power of the standard representation of $S_3$

4 votes
1 answer
2k views

Find a sequence $\{a_n\}$ of real numbers such that $\sum a_n$ converges but $\prod (1+ a_n)$ diverges.

4 votes
3 answers
5k views

Are questions of convergence important in real life?

4 votes
3 answers
1k views

Is this $\mathbb{C}[t]$ module cyclic?

3 votes
1 answer
577 views

Higher Dimensional analogue to translation and rotation.

3 votes
2 answers
4k views

Proving that if the partial sums are bounded (i.e. $|\sum_n^N a_n|$ is bounded) and that $\sum |a_n|^2$ converges, then $\sum a_n$ converges.

3 votes
2 answers
99 views

$|\sum |a_n| - |a_n|^2|$ is bounded and $\sum|a_n|^2$ converges , what can be concluded about $\sum a_n$?