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Sebastian Monnet's user avatar
Sebastian Monnet's user avatar
Sebastian Monnet's user avatar
Sebastian Monnet
  • Member for 5 years, 11 months
  • Last seen more than a month ago
34 votes
Accepted

Intuitive, possibly graphical explanation of why rationals have zero Lebesgue measure

23 votes

Importance and Intuition of Polynomial Rings

9 votes
Accepted

Does the unit generate the additive group in a unital ring with cyclic additive group?

6 votes
Accepted

example of $L/\Bbb{Q}_p$ such that there is no prime element $π$ of ring of integers $L$ such that $p=π^e$.

5 votes
Accepted

Draw a cover of $S^1 \vee S^1$ whose $\pi_1$ is isomorphic to $\langle a^2,b^3,aba^{-1}b^{-1} \rangle \leq F_2$

5 votes
Accepted

Non cyclic Galois extension of degree 12

5 votes
Accepted

Splitting field $L$ of polynomial $f \in K[x]$ with degree $n$ satisfies $[L:K] | n!$

4 votes
Accepted

Order of conjugate element equals the order of the element

4 votes

How to find an open cover of X which does not admit a finite subcover?

4 votes
Accepted

Verify that the set of polynomials over $\mathbb{Q}$ is not a field

3 votes
Accepted

Proof that $\mathbb{Q}(x) \not \subseteq \mathbb{Q}(x+i)$

3 votes
Accepted

How do I show that the annihilator is a strict ideal of the ring $R$?

3 votes

show there is $\sigma_i\in Gal(K/F)$ such that $\sigma_i\sqrt{d_j}=\sqrt{d_j}$ if $j\neq i$, but $\sigma_i\sqrt{d_i}=-\sqrt{d_i}$

3 votes
Accepted

In the ring $\mathbb{Z}_p$, $p$ is prime, $(a+b)^p=a^p+b^p$ proof?

3 votes

If $a<b+r$ for every rational $r>0$ then $a\leq b$

3 votes
Accepted

$\mathbb{Z}$ mod $p$ vs. $\mathbb{Z}_p$

3 votes
Accepted

Find all integer solutions for Mordell's Equation $x^2=y^3+k$, where $k=-35$.

2 votes
Accepted

Examples of locally nilpotent ring

2 votes
Accepted

$\sup(a + B) = a + \sup B$

2 votes
Accepted

Order of a subgroup generated by two elements in $S_5$

2 votes

polynomials in $\mathbb F_p$

2 votes

Let $n$ be a positive integer and $p=4n+1$, a prime number. Show that $(\frac{p-1}2)!$ is a root of $x^2+1=0$ in $\mathbb Z_p$

2 votes
Accepted

Is character values on $G$-modules additive?

2 votes

Sub-fields generated by algebraically independent set

2 votes
Accepted

Question about the definition of an algebra homomorphism

2 votes
Accepted

Prove that the Galois group $G = Gal(x^5-2; \mathbb{Q})$ is a group metacyclic.

2 votes

Zariski and Euclidean topologies

2 votes

Norm group of $\mathbb{Q}_p(\sqrt[4]{\zeta_{p-1}p})$

2 votes
Accepted

$p^n \Bbb{Z}_p$ is closed subgroup of $ \Bbb{Z}_p$

2 votes
Accepted

Splitting ideals generated by prime numbers in $\mathbb{Z}[\sqrt{-5}]$