List questions from separable-extension

60

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Show $\mathbb{Q}(\sqrt{3+\sqrt{3}})/\mathbb{Q}$ is not a normal extension and find it's normal closure

Published on 23 Feb 2026 - 2:48

83

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Are all compact sets in a separable locally compact space G_delta sets?

Published on 19 Jul 2023 - 0:31

60

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Corollary 6.4:Arithmetic of Elliptic Curves,Silverman

Published on 20 Jul 2023 - 13:39

61

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Separable field extension with bounded simple extensions

Published on 31 Jul 2023 - 7:10

128

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Understanding proof of Proposition 5.49 of the Gortz's Algebraic Geometry book.

Published on 12 Sep 2023 - 4:07

40

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Is $\alpha \in \mathbb{F}_{p^n}$ separable over $\mathbb{F}_p(t)$?

Published on 12 Oct 2023 - 8:47

35

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Splitting field of a separable (and irreducible) polynomial is separable

Published on 12 Oct 2023 - 13:26

57

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When are coordinate rings separable?

Published on 16 Oct 2023 - 14:44

57

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Semisimplicity implies separability for a perfect field

Published on 23 Feb 2026 - 7:37

81

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Finite separable field extension of a non-perfect field $K$ of characteristic $p > 0$ that has degree divisible by $p$.

Published on 15 Dec 2023 - 16:32

73

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What are the advantages of separable extensions?

Published on 17 Dec 2023 - 5:22

57

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Action of some Galois group on scheme of finite type

Published on 23 Dec 2023 - 10:29

25

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Separable degree of an intermediate extension in a normal extension

Published on 29 Dec 2023 - 9:42

81

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Degree of the perfection of a field

Published on 29 Dec 2023 - 10:31

36

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Separability over a compositum of fields

Published on 09 Feb 2024 - 13:06

List Question

Show $\mathbb{Q}(\sqrt{3+\sqrt{3}})/\mathbb{Q}$ is not a normal extension and find it's normal closure

Are all compact sets in a separable locally compact space G_delta sets?

Corollary 6.4:Arithmetic of Elliptic Curves,Silverman

Separable field extension with bounded simple extensions

Understanding proof of Proposition 5.49 of the Gortz's Algebraic Geometry book.

Is $\alpha \in \mathbb{F}_{p^n}$ separable over $\mathbb{F}_p(t)$?

Splitting field of a separable (and irreducible) polynomial is separable

When are coordinate rings separable?

Semisimplicity implies separability for a perfect field

Finite separable field extension of a non-perfect field $K$ of characteristic $p > 0$ that has degree divisible by $p$.

What are the advantages of separable extensions?

Action of some Galois group on scheme of finite type

Separable degree of an intermediate extension in a normal extension

Degree of the perfection of a field

Separability over a compositum of fields

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