List questions from separable-extension

Published on 13 May 2017 - 12:20

125

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Obtaining invertible matrix from a separable field extension

Published on 15 May 2017 - 17:48

140

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How can I see that $\Bbb F_{p^2}(t)$ is a separable extension of $\Bbb F_p(t)$?

Published on 17 May 2017 - 1:23

307

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Questions regarding tower of normal/separable extensions

Published on 23 Feb 2026 - 2:51

41

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(From Milne) If $L/F$ is an extension of ﬁelds of degree 2, then there is an automorphism $\sigma$ of $L$ such that $F$ is the ﬁxed ﬁeld of $\sigma$

Published on 30 May 2017 - 18:35

35

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Can I found $x$ such that $K$ is a separable over $\textbf{F}_q(x)$?

Published on 10 Jun 2017 - 16:13

43

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Let $D'$ the subring of $D$-integral elements of $E$. Why $D'$ is Dedekind?

Published on 02 Jul 2017 - 22:28

159

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Proving a sufficient condition for the separability of a finite extension over a field of non-zero characteristic

Published on 17 Aug 2017 - 17:27

304

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Interesting algebras over non-commutative rings

Published on 26 Sep 2017 - 9:47

119

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Separable algebras over a non-commutative ring

Published on 27 Sep 2017 - 14:33

53

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How to prove this ‘lemme connu’?

Published on 30 Sep 2017 - 22:04

550

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"Intersection" of separable subfields

Published on 23 Feb 2026 - 2:43

477

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If $K$ is a field extension of $F$ and if $\alpha\in K$ is not separable over $F$, show that $\alpha^{p^m}$ is separable over $F$ for some

Published on 13 Oct 2017 - 14:21

202

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Automorphism group of separable closure

Published on 17 Oct 2017 - 0:30

987

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Let $k^p = k$, $K = k(x)$ and $F = k(u)$ for some $u \in K$. Show that $K/F$ is separable $\iff u \not\in K^p$.

Published on 18 Oct 2017 - 22:04

List Question

Example for non separable elements?

Obtaining invertible matrix from a separable field extension

How can I see that $\Bbb F_{p^2}(t)$ is a separable extension of $\Bbb F_p(t)$?

Questions regarding tower of normal/separable extensions

(From Milne) If $L/F$ is an extension of ﬁelds of degree 2, then there is an automorphism $\sigma$ of $L$ such that $F$ is the ﬁxed ﬁeld of $\sigma$

Can I found $x$ such that $K$ is a separable over $\textbf{F}_q(x)$?

Let $D'$ the subring of $D$-integral elements of $E$. Why $D'$ is Dedekind?

Proving a sufficient condition for the separability of a finite extension over a field of non-zero characteristic

Interesting algebras over non-commutative rings

Separable algebras over a non-commutative ring

How to prove this ‘lemme connu’?

"Intersection" of separable subfields

If $K$ is a field extension of $F$ and if $\alpha\in K$ is not separable over $F$, show that $\alpha^{p^m}$ is separable over $F$ for some

Automorphism group of separable closure

Let $k^p = k$, $K = k(x)$ and $F = k(u)$ for some $u \in K$. Show that $K/F$ is separable $\iff u \not\in K^p$.

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