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15
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Intermediate ring of an arbitrary field extension is also a field?

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#ring-theory #field-theory #extension-field
813
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Separable/Inseparable degree importance

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#abstract-algebra #field-theory #extension-field
243
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Maximal ideal of Cauchy nullsequences

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#ideals #extension-field
253
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Showing $L/K$ is unramified for almost all primes when $L=K(\sqrt[n]{a}), a\in A$ and $(a) = I^n$

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#algebraic-number-theory #extension-field
2k
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Separable closure is a field

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#abstract-algebra #extension-field
747
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Minimal polynomial of $\omega:=\zeta_7+\overline{\zeta_7}$

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#polynomials #extension-field
1.2k
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Adjoining an nth root of unity to $\mathbb{Q}$

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#abstract-algebra #extension-field
202
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An algebraically closed field with characteristic $p>0$

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#abstract-algebra #polynomials #field-theory #finite-fields #extension-field
611
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Finite field extension

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#field-theory #extension-field
318
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Field extensions and irreducible polynomial question

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#linear-algebra #abstract-algebra #extension-field
707
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Infinite algebraic extensions of $\mathbb{Q}$

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#algebraic-number-theory #extension-field
756
Views

Showing that the field generated by elements $e^{2\pi i/n} (n=1,2,...)$ is algebraic over $\mathbb{Q}$

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#algebraic-number-theory #extension-field
56
Views

Are these field extension notations equivalent?

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#field-theory #galois-theory #extension-field
164
Views

(New - Updated 3/1/13) Is this argument correct in showing that this field extension does not have the stated degree?

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#field-theory #galois-theory #extension-field
294
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Factoring irreducible polynomial over normal extension

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#abstract-algebra #field-theory #extension-field

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