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New posts in extension-field
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
Embedding of valued fields
abstract-algebra
logic
field-theory
extension-field
Subfield of $\mathbb{R}$ such that $\Bbb R/K$ is finite. [duplicate]
field-theory
extension-field
Is there a subfield $F$ of $\Bbb R$ such that there is an embedding $F(x) \hookrightarrow F$?
abstract-algebra
field-theory
extension-field
A field extension of degree 2 is a Normal Extension.
field-theory
extension-field
What is the probability that a rational prime remains prime in $\mathbb Z[i,\sqrt{-3}]$?
prime-numbers
algebraic-number-theory
extension-field
Roots of Artin-Schreier equation
number-theory
finite-fields
extension-field
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
abstract-algebra
field-theory
extension-field
irreducible-polynomials
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$ [duplicate]
abstract-algebra
galois-theory
extension-field
galois-extensions
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
field-theory
extension-field
irreducible-polynomials
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
abstract-algebra
field-theory
galois-theory
extension-field
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
abstract-algebra
galois-theory
extension-field
splitting-field
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$? [duplicate]
galois-theory
extension-field
An infinite family of Artin-Schreier polynomials which all split in $\mathbf{F}_q(\!(\theta)\!)$
extension-field
valuation-theory
formal-power-series
local-field
finding galois extension isomorphic to $\mathbb{Z}_2 \times \mathbb{Z}_4$ and $Q_8$
field-theory
galois-theory
extension-field
Why do people study algebraic extension?
abstract-algebra
field-theory
extension-field
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
abstract-algebra
field-theory
extension-field
minimal-polynomials
Show $\mathbb{Q}( \sqrt{5},\sqrt{7} ) = \mathbb{Q}( \sqrt{5} + \sqrt{7} )$
abstract-algebra
field-theory
extension-field
minimal-polynomials
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