Newbetuts
.
New posts in field-theory
When is $\mathbb{F}_p[x]/(x^2-2)\simeq\mathbb{F}_p[x]/(x^2-3)$ for small primes?
polynomials
ring-theory
field-theory
finite-fields
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
abstract-algebra
field-theory
extension-field
irreducible-polynomials
Field with $125$ elements
abstract-algebra
field-theory
finite-fields
irreducible-polynomials
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
field-theory
extension-field
irreducible-polynomials
Why is 1+1=0 in a finite field F={0,1}?
abstract-algebra
field-theory
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
abstract-algebra
field-theory
galois-theory
extension-field
About linear space generated by algebraically independent set
linear-algebra
abstract-algebra
field-theory
order of quotient ring
abstract-algebra
ring-theory
field-theory
$(a,b) \mathbin\# (c,d)=(a+c,b+d)$ and $(a,b) \mathbin\&(c,d)=(ac-bd(r^2+s^2), ad+bc+2rbd)$. Multiplicative inverse?
linear-algebra
abstract-algebra
field-theory
inverse
Does $\varphi(1)=1$ if $\varphi$ is a field homomorphism?
abstract-algebra
terminology
field-theory
Difference between i and -i
abstract-algebra
complex-numbers
field-theory
finding galois extension isomorphic to $\mathbb{Z}_2 \times \mathbb{Z}_4$ and $Q_8$
field-theory
galois-theory
extension-field
Irreductible polynomial on a finite field of degree as large as wanted [duplicate]
field-theory
galois-theory
finite-fields
Why do people study algebraic extension?
abstract-algebra
field-theory
extension-field
Is $\mathbb{Q}[2^{1/3}]$ a field?
abstract-algebra
field-theory
Upper bound on cardinality of a field
elementary-set-theory
field-theory
cardinals
model-theory
Show that $GL_n(\mathbb{F})$ is a finite group iff $\mathbb{F}$ has a finite number of elements
abstract-algebra
group-theory
field-theory
proof-verification
When we say two fields are isomorphic, does that just mean they are isomophic as rings?
abstract-algebra
field-theory
Cubic root of a polynomial to modulo of another polynomial
elementary-number-theory
polynomials
field-theory
finite-fields
discrete-logarithms
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
field-theory
galois-theory
splitting-field
automorphism-group
Prev
Next