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Michael
  • Member for 2 years, 8 months
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17 votes
0 answers
294 views

"Multiply everything so far, plug into polynomial" - can these always yield primes?

14 votes
1 answer
231 views

Is the set of subrings of $\mathbb Z[X]$ countable?

  • 143
8 votes
1 answer
308 views

Union of closed convex sets

  • 395
6 votes
0 answers
189 views

any method to estimate determinant of a matrix?

  • 83
5 votes
1 answer
49 views

Is there meaning in the minimal instances of a variable you need to write a rational expression?

  • 18.3k
5 votes
0 answers
191 views

Current State of Knowledge: Riemann Hypothesis

  • 10.5k
4 votes
1 answer
51 views

Extensions over $\mathbb{Q}$ by $\cos(\theta)$

4 votes
0 answers
65 views

Algebraicity of Pusieux series

3 votes
0 answers
47 views

$\newcommand{\Z}{\mathbb{Z}}$Let $R = \Z[x]$ and $I = (x)$, $J = (x, 7)$. Find $\operatorname{Tor}_i(R/I, R/J)$.

  • 2,020
3 votes
0 answers
24 views

Wild automorphisms of $\mathbb C$ in Wigner's theorem

  • 1,685
2 votes
0 answers
310 views

show that there are at least $n/4$ odd numbers and at least $n/4$ even numbers.

2 votes
0 answers
17 views

Ideals in a local domain

  • 2,350
2 votes
1 answer
61 views

How to proof there is no idempotent element other than 0 and 1 in a Division Algebra?

  • 21
1 vote
0 answers
78 views

The annihilator of a primary submodule is a primary ideal.

0 votes
1 answer
50 views

Show that if $p,q$ prime, $p<q$, and $p\not\mid q-1$, then there is $L:\mathbb{F}_q$ which is a splitting field for each $x^p-a,a\in\mathbb{F}_q^*$.

  • 355
0 votes
3 answers
687 views

Let $G$ be a group such that for all $x,y \in G, (xy)^3 = x^3y^3$ and there's no element with order $3$. Show that $xy^2=y^2x$ and $G$ is abelian. [duplicate]

  • 2,178
0 votes
0 answers
24 views

Equivalent definition of the Hilbert function