Newbetuts
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New posts in field-theory
An exercise with Zariski topology
abstract-algebra
algebraic-geometry
commutative-algebra
field-theory
Subfields of $\mathbb{Q}(\sqrt[6]{5})$.
abstract-algebra
field-theory
galois-theory
Embedding the ring of algebraic integers into $\mathbb{R}^n$ (Serge Lang Algebra Exercise 7.4)
abstract-algebra
ring-theory
field-theory
algebraic-number-theory
Non-algebraically closed field in which every polynomial of degree $<n$ has a root
abstract-algebra
field-theory
Determine splitting field $K$ over $\mathbb{Q}$ of the polynomial $x^3 - 2$
field-theory
irreducible-polynomials
roots-of-unity
splitting-field
Finding inverse of polynomial in a field
elementary-number-theory
field-theory
finite-fields
Is every rigid field perfect?
algebraic-geometry
commutative-algebra
field-theory
galois-theory
Frobenius Automorphism as a linear map
field-theory
finite-fields
Is $\mathbb Q(\sqrt{2},\sqrt{3},\sqrt{5})=\mathbb Q(\sqrt{2}+\sqrt{3}+\sqrt{5})$. [duplicate]
abstract-algebra
field-theory
extension-field
Prove that a polynomial is irreducible
field-theory
irreducible-polynomials
A sentence false in a field of characteristic $0$ but true in all fields of positive characteristic?
logic
field-theory
model-theory
Isomorphisms: preserve structure, operation, or order?
abstract-algebra
group-theory
field-theory
order-theory
Puiseux series over an algebraically closed field
abstract-algebra
field-theory
power-series
$f,g$ be irr poly of degree $m$ and $n$. Show that if $\alpha$ is a root of $f$ in some extension of $F$, then $g$ is ireducible in $F(\alpha)[x]$
abstract-algebra
field-theory
extension-field
irreducible-polynomials
Proving $\sqrt{a+\sqrt{b}}=\sqrt{m}+\sqrt{n}\iff a^{2}-b$ is a square
abstract-algebra
field-theory
Extensions of degree two are Galois Extensions.
abstract-algebra
field-theory
galois-theory
extension-field
Tensor product and compositum of fields
abstract-algebra
field-theory
Problem in Jacobson's Basic Algebra (Vol. I)
abstract-algebra
field-theory
finite-fields
positive-characteristic
Fields of arbitrary cardinality
abstract-algebra
field-theory
Are $\mathbb{R}$ and $\mathbb{Q}$ the only nontrivial subfields of $\mathbb{R}$?
abstract-algebra
field-theory
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