List questions from normal-extension

Published on 17 Dec 2017 - 14:55

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Can I prove that a splitting field is normal without using zorn lemma

Published on 30 Dec 2017 - 4:20

254

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Normal extensions equivalence, Morandi Galois Theory, p36, Theorem 3.28

Published on 10 Jan 2018 - 7:42

155

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Extension of irreducible ideal of a Noetherian ring is irreducible of rings of fractions

Published on 02 Nov 2020 - 6:03

77

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$E/L$, $L/K$ normal then $E/K$ normal

Published on 08 Nov 2020 - 22:52

191

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Showing an extension of degree 2 is normal in a different way

Published on 12 Dec 2020 - 19:37

135

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Intersection of an Indexed Family of normal field extensions is also normal

Published on 30 Dec 2020 - 16:31

257

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If F is normal over E and E is normal over K then F need not be normal over K

Published on 14 Jan 2021 - 9:41

146

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Proving that $\mathbb{Q}(\omega)$ is the splitting field for $f(x)=x^4 - x^2 + 1$ over $\mathbb{Q}$

Published on 22 Jan 2021 - 18:50

44

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Issue in the proof showing that the splitting fields are normal.

Published on 15 Feb 2021 - 18:51

464

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Checking if an Extension is normal

Published on 12 Mar 2021 - 21:57

84

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$F_1F_2$ Normal extension of k

Published on 13 Mar 2021 - 7:15

90

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Understanding the definition of normal field extension

Published on 30 Apr 2021 - 13:21

61

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A problem on finite normal extension .

Published on 16 May 2021 - 19:58

251

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Find normal closure of $\mathbb Q\left( (1+i)\sqrt[4]{5} \right)/\mathbb Q$

Published on 17 May 2021 - 7:06

List Question

The relationship between normal extension and the splitting field of polynomial

Can I prove that a splitting field is normal without using zorn lemma

Normal extensions equivalence, Morandi Galois Theory, p36, Theorem 3.28

Extension of irreducible ideal of a Noetherian ring is irreducible of rings of fractions

$E/L$, $L/K$ normal then $E/K$ normal

Showing an extension of degree 2 is normal in a different way

Intersection of an Indexed Family of normal field extensions is also normal

If F is normal over E and E is normal over K then F need not be normal over K

Proving that $\mathbb{Q}(\omega)$ is the splitting field for $f(x)=x^4 - x^2 + 1$ over $\mathbb{Q}$

Issue in the proof showing that the splitting fields are normal.

Checking if an Extension is normal

$F_1F_2$ Normal extension of k

Understanding the definition of normal field extension

A problem on finite normal extension .

Find normal closure of $\mathbb Q\left( (1+i)\sqrt[4]{5} \right)/\mathbb Q$

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