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New posts in abstract-algebra
Is the image of a tensor product equal to the tensor product of the images?
abstract-algebra
commutative-algebra
homological-algebra
tensor-products
Galois group of $x^6+3$ over $\mathbb Q$
abstract-algebra
field-theory
galois-theory
Intermediate field, normal closure and Galois group
abstract-algebra
field-theory
galois-theory
Is there a formula for the determinant of the wedge product of two matrices?
linear-algebra
abstract-algebra
determinant
exterior-algebra
Isomorphic rings or not?
abstract-algebra
ring-theory
Understanding the normalizer of a Sylow $p$-subgroup
abstract-algebra
group-theory
sylow-theory
p-groups
How does 11 split in the ring $\mathbb{Z}[\sqrt[3]{2}]$
abstract-algebra
polynomials
algebraic-number-theory
intersection-theory
Elementary proof that all fields of four elements are isomorphic to each other
abstract-algebra
proof-verification
finite-fields
What is a coset?
abstract-algebra
group-theory
abelian-groups
If $A[[x]]$ is Noetherian, will $A$ be Noetherian?
abstract-algebra
commutative-algebra
ring-theory
Is it true that a flat module is torsion-free over an arbitrary ring? Does the reverse implication hold for finitely generated modules?
abstract-algebra
ring-theory
noncommutative-algebra
torsion-groups
flatness
Is it necessary for non-zero quotient ring in a UFD but not PID to be an infinite set?
abstract-algebra
ring-theory
Intersection of cosets
abstract-algebra
group-theory
If $H\unlhd G$ with $(|H|,[G:H])=1$ then $H$ is the unique such subgroup in $G$.
abstract-algebra
group-theory
finite-groups
Slicker construction of the free product of groups
abstract-algebra
group-theory
category-theory
free-groups
Solutions of homogeneous linear differential equations are a special case of structure theorem for f.g. modules over a PID
abstract-algebra
ordinary-differential-equations
modules
Help me prove equivalently of regular semigroup and group.
abstract-algebra
semigroups
Is duality an exact functor on Banach spaces or Hilbert spaces?
abstract-algebra
functional-analysis
category-theory
banach-spaces
hilbert-spaces
Why is $\mathbb{Q}(\operatorname{exp}(\frac{2\pi i}{5}))$ a field extension of degree four not five?
abstract-algebra
field-theory
extension-field
minimal-polynomials
Seifert-van-Kampen and free product with amalgamation
abstract-algebra
group-theory
algebraic-topology
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