List questions from extension-field

Published on 28 Mar 2026 - 9:44

222

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Tensor product and localisation

Published on 27 Oct 2014 - 6:00

3.3k

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Example of a normal extension.

Published on 01 Apr 2026 - 6:03

151

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How can I show that $\mathbb{Q}(\sqrt[3]{2},\zeta_3)$ is a splitting field for $X^3-2=0$?

Published on 26 Mar 2026 - 8:23

364

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Show that a Field Extension is Unramified Using Transitivity

Published on 25 Mar 2026 - 10:53

317

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A problem about splitting field and irreducibility of a polynomial

Published on 28 Mar 2026 - 9:45

211

Views

A problem about normal extensions and automorphisms

Published on 30 Oct 2014 - 13:47

444

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Extensions Fields and Zeros of Polynomials

Published on 31 Oct 2014 - 10:15

780

Views

normality of algebraic closure

Published on 31 Oct 2014 - 15:37

33

Views

Confusion about coordinate function

Published on 31 Mar 2026 - 12:10

104

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Is the extension normal and a little work check.

Published on 28 Mar 2026 - 9:45

1.4k

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Splitting field of $x^3 - 2$ over $\mathbb{F}_5$

Published on 26 Mar 2026 - 6:28

143

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Prove that $a$ is a $p$th power in $k$ if only if it is in $K$

Published on 03 Nov 2014 - 13:18

45

Views

Is $PE$ is purely inseparable over $E$?

Published on 03 Nov 2014 - 14:04

457

Views

prove that $p(x)$ is an irreducible polynomial over $K$

Published on 28 Mar 2026 - 11:33

List Question

monic irreducible polynomial over K

Tensor product and localisation

Example of a normal extension.

How can I show that $\mathbb{Q}(\sqrt[3]{2},\zeta_3)$ is a splitting field for $X^3-2=0$?

Show that a Field Extension is Unramified Using Transitivity

A problem about splitting field and irreducibility of a polynomial

A problem about normal extensions and automorphisms

Extensions Fields and Zeros of Polynomials

normality of algebraic closure

Confusion about coordinate function

Is the extension normal and a little work check.

Splitting field of $x^3 - 2$ over $\mathbb{F}_5$

Prove that $a$ is a $p$th power in $k$ if only if it is in $K$

Is $PE$ is purely inseparable over $E$?

prove that $p(x)$ is an irreducible polynomial over $K$

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