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New posts in abstract-algebra
Showing $k[X] \cong k[X,Y,Z]\big/{(Y-X^2,Z-X^3)}$
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
polynomial-rings
If a symmetric matrix commutes with all symmetric matrices, is it then a multiple of the identity?
linear-algebra
abstract-algebra
matrices
vector-spaces
linear-transformations
How to prove that if $\sigma\in \operatorname{Gal}(k(x)/k)\Leftrightarrow \sigma(x)=\frac{ax+b}{cx+d}$? [duplicate]
abstract-algebra
field-theory
galois-theory
What is this $\Sigma_4 /\langle (12)(34)\rangle$?
abstract-algebra
group-theory
Difference between a group normalizer and centralizer
abstract-algebra
group-theory
Which isomorphism of coordinate rings corresponds to isomorphisms of affine varieties?
abstract-algebra
algebraic-geometry
reference-request
ring-theory
commutative-algebra
$\mathbb Z[\sqrt 3]$ contains infinitely many units
abstract-algebra
diophantine-equations
Is $\mathbb{Q}[\sqrt{2},\sqrt{3}]$ the same as $\mathbb{Q}(\sqrt{2},\sqrt{3})$?
abstract-algebra
field-theory
extension-field
If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$
abstract-algebra
group-theory
Abelian group admitting a surjective homomorphism onto an infinite cyclic group
abstract-algebra
group-theory
abelian-groups
cyclic-groups
Capelli Lemma for polynomials
abstract-algebra
polynomials
field-theory
Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
abstract-algebra
ring-theory
If $0$ is the zero-object $ \Longrightarrow F(0) $ is the zero object when $F$ additive
abstract-algebra
category-theory
modules
Is $X$ irreducible in $R[X]$?
abstract-algebra
ring-theory
irreducible-polynomials
group of units of $\mathbb Z\left[\frac{1+\sqrt{5}}{2}\right]$
abstract-algebra
ring-theory
algebraic-number-theory
Elementary number theory results that are not generalized by ring or group theory
soft-question
abstract-algebra
Under what conditions will the ring homomorphism $\phi : R \to S$ satisfy the following results about prime and maximal ideals?
abstract-algebra
ring-theory
maximal-and-prime-ideals
ring-homomorphism
Solvable subgroups of $S_p$ of order divisible by $p$
abstract-algebra
group-theory
galois-theory
What Are R-Modules Used For?
abstract-algebra
soft-question
modules
Infinite algebraic extension of $\mathbb{Q}$
abstract-algebra
field-theory
extension-field
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