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15
Math.TechQA.Club
2026-04-14 22:28:51
164
Views
Why is $[\overline{\mathbb{Q}}:\mathbb{Q}]$ infinite?
Published on
14 Apr 2026 - 22:28
#field-theory
#extension-field
743
Views
Clarifications about extension fields, its basis
Published on
11 Apr 2026 - 17:58
#abstract-algebra
#field-theory
#extension-field
1.4k
Views
What is the difference between Algebraic extension and Algebraic closure?
Published on
10 Apr 2026 - 4:33
#abstract-algebra
#field-theory
#extension-field
1.1k
Views
degree of a field extension
Published on
12 Apr 2026 - 9:40
#abstract-algebra
#field-theory
#extension-field
229
Views
ring of integers in a cubic extension of a cyclotomic function field
Published on
15 Apr 2026 - 12:03
#number-theory
#field-theory
#extension-field
300
Views
finding the minimal polynomial
Published on
11 Apr 2026 - 2:55
#abstract-algebra
#field-theory
#extension-field
1.8k
Views
Prove: Let $Gal(f)$ acts transitively on $Z(f)$ if and only if $f$ is irreducible in $F[x]$
Published on
14 Apr 2026 - 17:23
#galois-theory
#group-actions
#extension-field
457
Views
Prove that there exists an automorphism permuting the zeroes of an irreducible polynomial in the splitting field
Published on
13 Apr 2026 - 0:32
#abstract-algebra
#field-theory
#extension-field
257
Views
If $x$ is a root of $x^2 + x + 1$ over $GF(4)$, then so is $x + 1$
Published on
17 Apr 2026 - 11:32
#field-theory
#finite-fields
#extension-field
422
Views
Any cyclic extension over fields with characteristic $p$ with degree $p$ that it is the splitting field of a polynomial of the form $X^p-X-a$
Published on
14 Apr 2026 - 11:54
#abstract-algebra
#field-theory
#galois-theory
#extension-field
#splitting-field
101
Views
Is a generated field independent of the extension over which it is generated?
Published on
12 Apr 2026 - 1:53
#field-theory
#extension-field
100
Views
Classification theorem for separable algebras
Published on
11 Apr 2026 - 11:07
#abstract-algebra
#reference-request
#extension-field
#semi-simple-rings
277
Views
Why does a root extension has a Galois closure?
Published on
14 Apr 2026 - 1:48
#abstract-algebra
#field-theory
#galois-theory
#extension-field
152
Views
Why is there a chain of cyclic simple radical extensions?
Published on
12 Apr 2026 - 12:46
#abstract-algebra
#field-theory
#galois-theory
#extension-field
530
Views
Extension of a field..
Published on
13 Apr 2026 - 4:07
#field-theory
#soft-question
#extension-field
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