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New posts in abstract-algebra
What are the three non-isomorphic 2-dimensional algebras over $\mathbb{R}$?
abstract-algebra
representation-theory
Permutation Representations and Group Actions
abstract-algebra
group-theory
permutations
In a field extension, if each element's degree is bounded uniformly by $n$, is the extension finite?
abstract-algebra
field-theory
extension-field
Structure of simple group of order 168 just via Sylow theory (fix for Math Doctor Bob)
abstract-algebra
group-theory
finite-groups
Does this almost-group uniquely define a group?
abstract-algebra
group-theory
quasigroups
Isomorphism of sets
abstract-algebra
terminology
finite-fields
Linear independence of $n$th roots over $\mathbb{Q}$
linear-algebra
abstract-algebra
elementary-number-theory
Bourbaki Proof of Zorn's Lemma in Lang's Algebra
abstract-algebra
set-theory
axiom-of-choice
Isomorphism of rings implies isomorphism of vector spaces?
linear-algebra
abstract-algebra
commutative-algebra
ring-theory
vector-spaces
Equivalent characterizations of faithfully exact functors of abelian categories
abstract-algebra
category-theory
abelian-categories
exact-sequence
understanding the commutator of dihedral group [duplicate]
abstract-algebra
group-theory
dihedral-groups
Automorphisms of a Cyclic Group
abstract-algebra
group-theory
automorphism-group
$A \longrightarrow \text{Im} f$ is an epimorphism and a cokernel of ker $f \longrightarrow A$ in every abelian category
abstract-algebra
category-theory
abelian-categories
Why is there no solution with radicals for the quintic equation $x^5-x+1=0$? [closed]
abstract-algebra
quintics
gcd in principal ideal domain
abstract-algebra
ring-theory
principal-ideal-domains
Suppose $K/F$ is a Galois extension of degree $p^m$. Then there is a chain of extensions $F \subseteq F_1 \subseteq \cdots F_m = K$ each of degree $p$
abstract-algebra
group-theory
field-theory
galois-theory
sylow-theory
Proof that a certain domain is a valuation ring
abstract-algebra
commutative-algebra
How do I see that every left ideal of a square matrix ring over a field is principal?
linear-algebra
abstract-algebra
matrices
ring-theory
vector-spaces
What does "characteristic" mean in mathematics?
abstract-algebra
terminology
definition
$R/I$ is not Noetherian. Prove that $I$ is a prime ideal.
abstract-algebra
commutative-algebra
ring-theory
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