Newbetuts
.
New posts in field-theory
Can we construct $\Bbb C$ without first identifying $\Bbb R$?
abstract-algebra
field-theory
extension-field
Why does the inverse of surreal numbers exist?
field-theory
surreal-numbers
Are there nonisomorphic fields with isomorphic multiplicative groups?
abstract-algebra
group-theory
field-theory
Sigma-Algebra: Is it an Algebra, Field, or Something Else?
abstract-algebra
field-theory
Fields and cubic extensions
field-theory
extension-field
Field having an archimedean ordering and a non archimedean ordering
field-theory
ordered-fields
Isomorphism between $\Bbb R$ and $\Bbb R(X)$?
abstract-algebra
field-theory
extension-field
This tower of fields is being ridiculous
abstract-algebra
field-theory
extension-field
fake-proofs
What is $\operatorname{Gal}(\mathbb Q(\zeta_n)/\mathbb Q(\sin(2\pi k/n))$? [closed]
field-theory
galois-theory
Suppose $\gcd(\deg(f),\deg (g))=1$. Show that $g(x)$ is irreducible in $k(\alpha)[X]$.
abstract-algebra
polynomials
field-theory
extension-field
How to show that $[\mathbb{Q}(\sqrt[3]{2},\sqrt[3]{3}):\mathbb{Q}]=9$?
abstract-algebra
field-theory
Simple extension of $\mathbb{Q} (\sqrt[4]{2},i)$
abstract-algebra
field-theory
galois-theory
extension-field
irreducible-polynomials
How to find the degree of a field extension
abstract-algebra
field-theory
definition
extension-field
Why does $\mathbb{C}$ have transcendence degree $\mathfrak{c}$ over $\mathbb{Q}$?
abstract-algebra
field-theory
Proof of Artin's Theorem (linearly independent functions)
abstract-algebra
group-theory
field-theory
group-homomorphism
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
abstract-algebra
field-theory
Show $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is a simple extension field of $\mathbb{Q}$.
abstract-algebra
field-theory
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
field-theory
factoring
irreducible-polynomials
If $[L:k]$ is odd, $f$ quadratic form over $k$, then $\exists$ zero in $k$ when $\exists$ zero in $L$
abstract-algebra
field-theory
quadratic-forms
Let $\alpha$ be a root of $(x^2-a)$ and $\beta$ be a root of $(x^2-b)$. Provide conditions over $a$ and $b$ to have $F=K(\alpha+\beta)$.
abstract-algebra
field-theory
splitting-field
positive-characteristic
Prev
Next