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Square classes of a real closed field

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#number-theory #field-theory #galois-cohomology
228
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Question about existence of Galois extension

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#abstract-algebra #field-theory #galois-theory
68
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Proving addition is associative in $\mathbb{R}$

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#proof-writing #field-theory
72
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Two minor questions about a transcendental number over $\Bbb Q$

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#abstract-algebra #field-theory #pi #transcendental-numbers
548
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Is it possible for an infinite field that does not contain a subfield isomorphic to $\Bbb Q$?

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#abstract-algebra #field-theory
1.1k
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Proving that the fraction field of a $k[x,y]/(f)$ is isomorphic to $k(t)$

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#abstract-algebra #commutative-algebra #field-theory
3.7k
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Finding a generator of GF(16)*

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#field-theory
87
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Operator notation for arbitrary fields

Published on
#field-theory #notation
56
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Studying the $F[x]/\langle p(x)\rangle$ when $p(x)$ is any degree.

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#abstract-algebra #field-theory
616
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Proof of normal basis theorem for finite fields

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#abstract-algebra #field-theory #galois-theory #finite-fields
978
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Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

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#field-theory #finite-fields #extension-field
83
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When will $F[x]/\langle p(x)\rangle$ strictly contain $F$?

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#abstract-algebra #field-theory #irreducible-polynomials
79
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$\overline{A}\simeq\overline{k}^n $ implies $A\simeq K_1\times\cdots\times K_r$

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#commutative-algebra #field-theory #extension-field
31
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$F[x]/\langle f(x)\rangle$ vs. $F[x]/\langle g(x)\rangle$ when $\deg f(x)<\deg g(x)$

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#abstract-algebra #field-theory
180
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Regular inverse Galois problem for Q(t)

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#abstract-algebra #algebraic-geometry #field-theory #galois-theory

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