List questions from extension-field

Published on 14 Apr 2026 - 0:42

193

Views

Finite extensions of number fields as coverings

Published on 17 Apr 2026 - 6:31

27

Views

Are there other topological field structures on the complex numbers which make the inclusion of the reals a topological embedding?

Published on 12 Apr 2026 - 13:23

63

Views

Normality of field extensions via tensor product

Published on 15 Apr 2026 - 0:01

111

Views

Tensor Product of an Extension Field and Quotient of a Polynomial Ring

Published on 15 Apr 2026 - 23:21

149

Views

Atiyah-MacDonald: Proposition 7.9. Proof

Published on 16 Apr 2026 - 2:36

118

Views

Galois Theory - field extensions and irreducible polynomials

Published on 11 Apr 2026 - 4:40

49

Views

A doubt on generalizing a result on Extension fields

Published on 13 Apr 2026 - 23:04

30

Views

Proving $[\mathbb{Q}(m(\alpha)):\mathbb{Q}]\leq[\mathbb{Q}(\alpha):\mathbb{Q}]$

Published on 16 Apr 2026 - 16:19

32

Views

Question about separable extension and $f(x)=x^{p^n}-a$

Published on 16 Apr 2026 - 0:52

51

Views

Question about the minimal polynomial of an inseparable element in a field

Published on 15 Apr 2026 - 14:03

45

Views

bijection between $Aut_F(E)$ and $Hom_F(E,\bar F)$

Published on 15 Apr 2026 - 22:33

91

Views

Show that characteristic polynomial of $Ty = ay$ is power of minimal polynomial of $a$

Published on 13 Apr 2026 - 21:59

447

Views

Trace Map is non-degenerate

Published on 14 Apr 2026 - 8:56

76

Views

Minimal polynomial of $x$ over $K(x^n)$ where $x$ is transcendental

Published on 15 Apr 2026 - 2:07

List Question

Galois group of a polynomial over $\mathbb{Q}$

Finite extensions of number fields as coverings

Are there other topological field structures on the complex numbers which make the inclusion of the reals a topological embedding?

Normality of field extensions via tensor product

Tensor Product of an Extension Field and Quotient of a Polynomial Ring

Atiyah-MacDonald: Proposition 7.9. Proof

Galois Theory - field extensions and irreducible polynomials

A doubt on generalizing a result on Extension fields

Proving $[\mathbb{Q}(m(\alpha)):\mathbb{Q}]\leq[\mathbb{Q}(\alpha):\mathbb{Q}]$

Question about separable extension and $f(x)=x^{p^n}-a$

Question about the minimal polynomial of an inseparable element in a field

bijection between $Aut_F(E)$ and $Hom_F(E,\bar F)$

Show that characteristic polynomial of $Ty = ay$ is power of minimal polynomial of $a$

Trace Map is non-degenerate

Minimal polynomial of $x$ over $K(x^n)$ where $x$ is transcendental

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