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New posts in abstract-algebra
"Almost" ring homomorphism
abstract-algebra
ring-theory
Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$?
abstract-algebra
number-theory
prime-numbers
Set of elements in $K$ that are purely inseparable over $F$ is a subfield
abstract-algebra
field-theory
extension-field
Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$
real-analysis
abstract-algebra
semigroups
orthogonal-polynomials
chebyshev-polynomials
If $G$ is a finite group, $H$ is a subgroup of $G$, and there is an element of $G/H$ of order $n$, then there is an element of $G$ of order $n$
abstract-algebra
group-theory
finite-groups
Prove that $\mathbb{C}[x,y] \ncong \mathbb{C}[x]\oplus\mathbb{C}[y]$
abstract-algebra
commutative-algebra
ring-theory
Irreducibility of Multivariable Polynomials
abstract-algebra
polynomials
irreducible-polynomials
How to find subgroups of $ \;\;\Bbb Z_2\times \Bbb Z_6$
abstract-algebra
group-theory
abelian-groups
cyclic-groups
Why is the exterior algebra a bi-algebra (and even a Hopf algebra)?
linear-algebra
abstract-algebra
Show that, for every $n$, $A_{n+2}$ has a subgroup isomorphic to $S_n$
abstract-algebra
group-theory
symmetric-groups
group-isomorphism
Where does the Jordan canonical form show up in more advanced mathematics?
linear-algebra
abstract-algebra
matrices
jordan-normal-form
research
Solutions to the equation $a^2x-b^2x^2=c^2$
abstract-algebra
algebra-precalculus
number-theory
field-theory
Does $[\mathfrak{h},[\mathfrak{h},\mathfrak{h}]]=0$ imply $[\mathfrak{h},\mathfrak{h}]=0$?
linear-algebra
abstract-algebra
differential-geometry
lie-groups
lie-algebras
Am I the only one constantly forgetting the Eisenstein criterion? [closed]
abstract-algebra
intuition
mnemonic
$x^4+x^3+x^2+x+1$ irreducible over $\mathbb F_7$
abstract-algebra
polynomials
field-theory
finite-fields
irreducible-polynomials
Possible Jordan Canonical Forms Given Minimal Polynomial
linear-algebra
abstract-algebra
matrices
jordan-normal-form
The group of roots of unity in an algebraic number field
abstract-algebra
algebraic-number-theory
Is it possible that $(ab)^{-1}$ is defined although $a^{-1},b^{-1}$ are not?
abstract-algebra
ring-theory
noncommutative-algebra
monoid
How to show the only absolute value on a finite field is the trivial one.
abstract-algebra
finite-fields
valuation-theory
Why does $\sum a_i \exp(b_i)$ always have root?
abstract-algebra
complex-analysis
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