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New posts in field-theory
Sums and products of algebraic numbers
abstract-algebra
field-theory
minimal-polynomials
Does there exist a field which has infinitely many subfields?
abstract-algebra
field-theory
Do extension fields always belong to a bigger field?
abstract-algebra
field-theory
extension-field
Galois group of algebraic closure of a finite field
abstract-algebra
field-theory
galois-theory
finite-fields
Galois Groups of Finite Extensions of Fixed Fields
abstract-algebra
field-theory
galois-theory
galois-extensions
Finding a primitive element of a finite field
field-theory
finite-fields
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
abstract-algebra
field-theory
galois-theory
minimal-polynomials
Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
abstract-algebra
ring-theory
field-theory
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
abstract-algebra
field-theory
Totally real Galois extension of given degree
field-theory
galois-theory
Generating Elements of Galois Group
abstract-algebra
group-theory
field-theory
galois-theory
Can algebraic numbers be compared using only rational arithmetic?
abstract-algebra
field-theory
algorithms
ordered-fields
How to prove that algebraic numbers form a field? [duplicate]
abstract-algebra
field-theory
splitting-field
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
abstract-algebra
field-theory
Extending Homomorphism into Algebraically Closed Field
abstract-algebra
field-theory
Inseparable, irreducible polynomials
field-theory
galois-theory
Is there a special name for a field where each number has a square root?
abstract-algebra
field-theory
terminology
Do the Liouville Numbers form a field?
real-analysis
field-theory
transcendental-numbers
If the Galois group is $S_3$, can the extension be realized as the splitting field of a cubic?
field-theory
galois-theory
extension-field
splitting-field
Galois group of $x^4-2$
abstract-algebra
field-theory
galois-theory
splitting-field
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