Newbetuts
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New posts in field-theory
If a real number can be expressed in terms of complex solutions of cubic equations, can it be expressed in terms of real solutions of cubic equations?
complex-numbers
field-theory
algebraic-number-theory
extension-field
cubics
Is there a quadratically closed field strictly between the quadratic closures of $\mathbb{Q}$ and $\mathbb{Q}(\sqrt[3]{2})$?
abstract-algebra
field-theory
extension-field
How to prove that the polynomial $x^2 + x + 1$ is irreducible over $\mathbb Q(\sqrt[3]{2})$?
abstract-algebra
field-theory
extension-field
irreducible-polynomials
Does there exist two different fields over $F$ such that they have the same intermediate fields?
abstract-algebra
field-theory
extension-field
Brauer Group of $\mathbb{Q}_2$
abstract-algebra
field-theory
class-field-theory
In a field, prove that if $ x + x = 0$ then $ 1 +1 = 0$
proof-verification
field-theory
Function field in one variable over a finite field.
field-theory
finite-fields
function-fields
Embedding of valued fields
abstract-algebra
logic
field-theory
extension-field
How to find all field homomorphisms $\mathbb Q(\sqrt(5+ \sqrt 5 ) \rightarrow \mathbb C$
field-theory
minimal-polynomials
Hyperreal field extension
logic
soft-question
set-theory
field-theory
nonstandard-analysis
Determine the minimal polynomial of $\sqrt 3+\sqrt 5$
abstract-algebra
field-theory
minimal-polynomials
Multivariate coprime polynomials in field extensions
abstract-algebra
polynomials
field-theory
subfields of transcendental field extension
abstract-algebra
field-theory
Faulty definition of a field in Curtis' Abstract Linear Algebra?
field-theory
When is a field a nontrivial field of fractions?
abstract-algebra
commutative-algebra
ring-theory
field-theory
The Galois group of a composite of Galois extensions
abstract-algebra
field-theory
galois-theory
A shortcut in Galois theory
field-theory
galois-theory
Application of the Artin-Schreier Theorem
abstract-algebra
field-theory
galois-theory
$\mathbb{Q}(\sqrt{p^*})$ is contained in the ring class field of conductor $p$
field-theory
galois-theory
algebraic-number-theory
class-field-theory
complex-multiplication
If quadratic or cubic polynomial $f$ has no roots, then $f$ is irreducible.
abstract-algebra
field-theory
irreducible-polynomials
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