List questions from extension-field

Published on 09 May 2014 - 15:10

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finite field extension and normality

Published on 09 May 2014 - 21:14

236

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irreducible polynomial is still irreducible on purely inseparable extension

Published on 10 May 2014 - 1:10

7.5k

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Prove that every extension of a finite field is normal

Published on 30 Mar 2026 - 7:08

83

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Algorithm for finding irreducible polynomials in finite field extension

Published on 11 May 2014 - 22:29

1.1k

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Prove that if $a^2 + ab + b^2 = 0$ then $a = b = 0$?

Published on 30 Mar 2026 - 7:07

159

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Is the "set" of all algebraic extensions a set?

Published on 13 May 2014 - 4:29

86

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simple extension with algebraic over the field

Published on 13 May 2014 - 4:39

525

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Roots of Artin-Schreier equation

Published on 30 Mar 2026 - 7:09

89

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maximal abelian extension of exponent $q-1$ of $\mathbb F_q((t))$

Published on 14 May 2014 - 9:46

195

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Finite Separable Extensions

Published on 14 May 2014 - 20:50

73

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A theorem about ideals of $K[T_1,\ldots,T_n]$ and their generators

Published on 01 Apr 2026 - 15:33

171

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Finding some homogeneous generators of an ideal.

Published on 15 May 2014 - 15:30

28

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There are finite distinct restrictions to a subfield

Published on 15 May 2014 - 16:04

67

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An equality in some extension field

Published on 15 May 2014 - 19:53

List Question

I want to find a cubic extension of $\mathbb{Q}$

finite field extension and normality

irreducible polynomial is still irreducible on purely inseparable extension

Prove that every extension of a finite field is normal

Algorithm for finding irreducible polynomials in finite field extension

Prove that if $a^2 + ab + b^2 = 0$ then $a = b = 0$?

Is the "set" of all algebraic extensions a set?

simple extension with algebraic over the field

Roots of Artin-Schreier equation

maximal abelian extension of exponent $q-1$ of $\mathbb F_q((t))$

Finite Separable Extensions

A theorem about ideals of $K[T_1,\ldots,T_n]$ and their generators

Finding some homogeneous generators of an ideal.

There are finite distinct restrictions to a subfield

An equality in some extension field

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