List questions from extension-field

Published on 16 Apr 2026 - 14:07

340

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Kummer extension correspondence without roots of unity (Serge Lang)

Published on 25 Mar 2026 - 15:17

389

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Factorization of Polynomial in an extension field

Published on 15 Apr 2026 - 8:14

57

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How to show $\zeta_p\in K$

Published on 11 Apr 2026 - 4:10

41

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Why does the set of algebraic elements of $K/F$ contain $F$?

Published on 16 Apr 2026 - 6:31

128

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Extension of Field by two roots

Published on 15 Apr 2026 - 13:02

99

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Generator for Galois group

Published on 08 Apr 2026 - 21:20

248

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A question based on algebraically closed field and extending an isomorphism to monomorphism over different fields

Published on 14 Apr 2026 - 7:37

279

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$K[\alpha]$ is a field implies $\alpha$ is algebraic

Published on 17 Apr 2026 - 2:27

147

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$|\operatorname{Aut}(K/F)| \leq [K:F]_s$ holds in general?

Published on 16 Apr 2026 - 15:44

129

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Show that any subring $R\subseteq L$ is a field if $K\subseteq L$ is module-finite field extension and $K\subseteq R$..

Published on 15 Apr 2026 - 10:51

42

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Classifying 'Normally Perfect' Fields

Published on 13 Apr 2026 - 16:08

101

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confused about a statement of pure extension in Rotman's abstract algebra textbook

Published on 11 Apr 2026 - 13:49

46

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field extensions degree theorem

Published on 08 Apr 2026 - 21:12

609

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Intersection of normal extensions is a normal extension

Published on 14 Apr 2026 - 22:45

List Question

$ef$ theorem for inertial degree and ramification index

Kummer extension correspondence without roots of unity (Serge Lang)

Factorization of Polynomial in an extension field

How to show $\zeta_p\in K$

Why does the set of algebraic elements of $K/F$ contain $F$?

Extension of Field by two roots

Generator for Galois group

A question based on algebraically closed field and extending an isomorphism to monomorphism over different fields

$K[\alpha]$ is a field implies $\alpha$ is algebraic

$|\operatorname{Aut}(K/F)| \leq [K:F]_s$ holds in general?

Show that any subring $R\subseteq L$ is a field if $K\subseteq L$ is module-finite field extension and $K\subseteq R$..

Classifying 'Normally Perfect' Fields

confused about a statement of pure extension in Rotman's abstract algebra textbook

field extensions degree theorem

Intersection of normal extensions is a normal extension

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