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15
Math.TechQA.Club
2026-03-25 09:33:39
36
Views
Factorization on an arbitrary field
Published on
25 Mar 2026 - 9:33
#abstract-algebra
#proof-writing
#field-theory
#chinese-remainder-theorem
161
Views
Proof that $[\overline{\mathbb Q}:\mathbb R\cap\overline{\mathbb Q}]=2$
Published on
25 Mar 2026 - 12:23
#abstract-algebra
#field-theory
#extension-field
11.2k
Views
prove that if $a=b$ then $a+c=b+c$ where $a,b,c\in \mathbb R$
Published on
25 Mar 2026 - 6:03
#field-theory
#relations
#real-numbers
#equivalence-relations
#axioms
287
Views
$\zeta_5$ has degree $4$ over $\mathbb{Q}$ and $\zeta_7$ has degree $6$ over $\mathbb{Q}$
Published on
25 Mar 2026 - 23:52
#abstract-algebra
#trigonometry
#polynomials
#field-theory
#roots-of-unity
127
Views
How to factor this polynomial over $\mathbb{F}_2$
Published on
25 Mar 2026 - 22:23
#abstract-algebra
#field-theory
#finite-fields
389
Views
Finite dimensional central division $\mathbb K$-algebra as a subalgebra of a matrix $\mathbb K$-algebra
Published on
19 Mar 2026 - 22:24
#abstract-algebra
#field-theory
#noncommutative-algebra
#splitting-field
#division-algebras
1.8k
Views
Non-distributive fields?
Published on
06 Apr 2018 - 22:14
#abstract-algebra
#field-theory
125
Views
Can Wedderburn's theorem proof be given by integral domain argument directly?
Published on
25 Mar 2026 - 22:25
#abstract-algebra
#group-theory
#ring-theory
#field-theory
#finite-fields
450
Views
The Galois group of $x^{4}-a$ over $\mathbb{Q}$ where $a$ is any integer $\neq 0$, $\neq \pm 1$ and is square free.
Published on
27 Mar 2026 - 4:23
#abstract-algebra
#field-theory
#galois-theory
459
Views
Field inclusion
Published on
07 Apr 2018 - 18:39
#field-theory
41
Views
Examples in finite extensions.
Published on
25 Mar 2026 - 12:22
#abstract-algebra
#field-theory
#extension-field
480
Views
Find the Galois group of $x^{4}-t$ over $\mathbb{R}(t)$, where $t$ is transcendental over the complex number $\mathbb{C}$
Published on
27 Mar 2026 - 4:23
#abstract-algebra
#field-theory
#galois-theory
86
Views
If $a$ and $b$ are elements of a finite field $k$, then $f(x)$ must have a root in $k$
Published on
25 Mar 2026 - 22:26
#abstract-algebra
#field-theory
#galois-theory
#finite-fields
106
Views
Characteristic $0$ non-algebraically closed field which does not admit an ordering
Published on
25 Mar 2026 - 9:24
#abstract-algebra
#field-theory
#order-theory
35
Views
The equivalent conditions for a subset of a field being a subspace
Published on
08 Apr 2018 - 18:00
#field-theory
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