Newbetuts
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New posts in field-theory
Is there an explicit embedding from the various fields of p-adic numbers $\mathbb{Q}_p$ into $\mathbb{C}$?
abstract-algebra
number-theory
ring-theory
field-theory
p-adic-number-theory
Why should I care about fields of positive characteristic?
abstract-algebra
field-theory
GCD in polynomial rings with coefficients in a field extension
abstract-algebra
ring-theory
field-theory
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
abstract-algebra
field-theory
galois-theory
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
abstract-algebra
field-theory
extension-field
Characteristic of a field is $0$ or prime [closed]
abstract-algebra
field-theory
Proving $\sqrt 3$ is irrational. [duplicate]
elementary-number-theory
proof-verification
field-theory
rationality-testing
Why does an irreducible polynomial split into irreducible factors of equal degree over a Galois extension?
polynomials
field-theory
galois-theory
How to prove that the Frobenius endomorphism is surjective?
abstract-algebra
field-theory
integral-domain
Constructing a Galois extension field with Galois group $S_n$
field-theory
galois-theory
Intersection of finite Galois extensions is Galois
abstract-algebra
field-theory
galois-theory
What are the fields with 4 elements? [closed]
abstract-algebra
field-theory
finite-fields
Show the two fields are not isomorphic
field-theory
algebraic-number-theory
Fermat's Last Theorem and Kummer's Objection
number-theory
ring-theory
algebraic-number-theory
field-theory
factoring
Fundamental question about field extensions
abstract-algebra
ring-theory
commutative-algebra
field-theory
extension-field
Prove that $\sqrt[5]{5} \notin \mathbb{Q}(e^\frac{2 \pi i}{25})$
field-theory
galois-theory
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
abstract-algebra
field-theory
galois-theory
Shortest irreducible polynomials over $\Bbb F_p$ of degree $n$
abstract-algebra
polynomials
field-theory
finite-fields
Do we have $[E : K]_i = [E_r : K]$ where $E_r$ is purely inseparable closure?
abstract-algebra
field-theory
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
abstract-algebra
field-theory
galois-theory
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