Newbetuts
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New posts in field-theory
Minimum polynomial of $\sqrt{2} + \sqrt[3]{5}$ above $\mathbb{Q}$ (and a generalization)
abstract-algebra
field-theory
extension-field
minimal-polynomials
Are all fields vector spaces?
linear-algebra
vector-spaces
field-theory
Definition of "CM-field"
field-theory
complex-multiplication
When can an infinite abelian group be embedded in the multiplicative group of a field?
group-theory
field-theory
Splitting field of $X^n-a$
abstract-algebra
field-theory
splitting-field
What is the field $\mathbb{Q}(\pi)$?
abstract-algebra
field-theory
Eisenstein criterion and Newton polygon
field-theory
algebraic-number-theory
irreducible-polynomials
p-adic-number-theory
"Prime decomposition of $\infty$"
number-theory
commutative-algebra
field-theory
algebraic-number-theory
A degree $4$ polynomial whose Galois group is isomorphic to $S_4$.
abstract-algebra
field-theory
galois-theory
Irreducibilty of polynomial $x^9-6x^6+282x^3-8$ over $\mathbb {Q} $
field-theory
algebraic-number-theory
irreducible-polynomials
Showing a homomorphism of a field algebraic over $\mathbb{Q}$ to itself is an isomorphism.
abstract-algebra
field-theory
Division of objects in categories
abstract-algebra
category-theory
field-theory
Do hypercontinuous fields exist?
abstract-algebra
field-theory
cardinals
nonstandard-analysis
Neukirch’s Number Theory – why is $ℂ \otimes_ℚ K → K_ℂ,~z \otimes a ↦ (j(z)a)_τ$ an isomorphism?
field-theory
algebraic-number-theory
tensor-products
Fixed Field of $\sigma, \tau$
field-theory
galois-theory
Cardinality of algebraic extensions of an infinite field.
abstract-algebra
field-theory
galois-theory
cardinals
fields are characterized by the property of having exactly 2 ideals [duplicate]
abstract-algebra
ring-theory
field-theory
ideals
If $a^2 = b^2$ in a field, then $a = b$ or $a = -b$
abstract-algebra
ring-theory
field-theory
Families of Polynomials Irreducible in $\mathbb{Z}$ but reducible in $\mathbb{Z}/p\mathbb{Z}$ for all primes $p$.
polynomials
field-theory
irreducible-polynomials
Algebraic extension of $\Bbb Q$ with exactly one extension of given degree $n$
abstract-algebra
field-theory
extension-field
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