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15
Math.TechQA.Club
2026-04-09 13:44:00
51
Views
Criterion for subfield of $ \mathbb{C} $ to be dense
Published on
09 Apr 2026 - 13:44
#field-theory
#extension-field
#cyclotomic-fields
#algebraic-numbers
63
Views
Wedderburn's little theorem
Published on
02 May 2026 - 7:48
#abstract-algebra
#field-theory
#proof-explanation
#finite-fields
#division-ring
270
Views
Number of extensions of a local field of fixed degree
Published on
14 Apr 2026 - 3:28
#abstract-algebra
#field-theory
#proof-explanation
#algebraic-number-theory
#local-field
73
Views
Why does the popular algorithm for for expressing the field extension F(a) as a vector space actually produce the correct answer?
Published on
15 Apr 2026 - 13:20
#vector-spaces
#field-theory
#galois-theory
#extension-field
48
Views
Let $f(x,y)=x+y$ and $g(x,y)=xy$, prove that the closure of $\mathbb{Q} \cup\{\sqrt{2}\}$ under $\{f, g\}$ is $\mathbb{Q}(\sqrt{2})$
Published on
17 Apr 2026 - 11:03
#real-analysis
#solution-verification
#field-theory
123
Views
Example of categorial epimorphism of rings from a commutative ring to a noncommutative division ring
Published on
15 Apr 2026 - 21:49
#abstract-algebra
#ring-theory
#commutative-algebra
#field-theory
#noncommutative-algebra
21
Views
Interesting examples of classes of ordered fields between ordered fields and real closed fields
Published on
13 Apr 2026 - 21:27
#reference-request
#field-theory
34
Views
Completion of global field = extension of completed sub-field?
Published on
12 Apr 2026 - 14:41
#field-theory
#algebraic-number-theory
#valuation-theory
129
Views
Is a field with archimedean absolute value with compact unit sphere complete?
Published on
10 Apr 2026 - 5:54
#field-theory
#valuation-theory
#local-field
79
Views
Showing degree of global extension is sum of degree of local extensions
Published on
11 Apr 2026 - 9:34
#abstract-algebra
#field-theory
#algebraic-number-theory
#valuation-theory
#local-field
40
Views
Uniqueness of prime field of a commutative ring with characteristic.
Published on
14 Apr 2026 - 0:33
#abstract-algebra
#field-theory
163
Views
Structure of multiplicative subgroup of a finite field
Published on
14 Apr 2026 - 13:22
#abstract-algebra
#group-theory
#polynomials
#field-theory
#finite-fields
88
Views
A radical extension $K/E$ (with $E/F$ Galois and $K/F$ finite) guarantees existence of $L/K$ such that $L/F$ Galois and $L/E$ radical.
Published on
15 Apr 2026 - 19:47
#abstract-algebra
#field-theory
#galois-theory
63
Views
Separable field extension with bounded simple extensions
Published on
09 Apr 2026 - 17:10
#field-theory
#galois-theory
#extension-field
#separable-extension
107
Views
Problem about the Galois group elements in Sage
Published on
09 Apr 2026 - 12:16
#field-theory
#galois-theory
#computer-algebra-systems
#sagemath
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