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New posts in modules
$\Bbb{Q}$ is not a finitely generated $\Bbb{Z}$-module
abstract-algebra
proof-verification
modules
abelian-groups
How to show $S$ is a free left-module over itself of rank $n$ for any $n \in \mathbb{N}$?
abstract-algebra
modules
What does $R-\mathrm{Mod}$ tell us about $R$?
ring-theory
modules
Are submodules of finitely generated free modules always free?
modules
Show $\mathbb{Q}[x,y]/\langle x,y \rangle$ is Not Projective as a $\mathbb{Q}[x,y]$-Module.
commutative-algebra
polynomials
modules
projective-module
Endomorphisms of modules satisfying chain conditions and counterexamples.
abstract-algebra
ring-theory
modules
Splicing together two short exact sequences
abstract-algebra
modules
exact-sequence
Writing $\left(\mathbf Z/2\oplus\mathbf Z/4\oplus\mathbf Z/8\right)\oplus\left(\mathbf Z/9\oplus\mathbf Z/27\right)$ in a different way
abstract-algebra
modules
Doubt about the definition of free vector spaces.
linear-algebra
abstract-algebra
modules
free-modules
commutative rings whose localization at every prime ideal is a field
ring-theory
commutative-algebra
modules
localization
Integrals of a Hopf algebra: Why that name?
abstract-algebra
soft-question
modules
terminology
hopf-algebras
Ring is Noetherian if it admits a faithful finitely generated module with ACC on submodules generated by ideals
abstract-algebra
commutative-algebra
modules
noetherian
finitely-generated
$\mathbb{Z}_pH$-module
group-theory
finite-groups
modules
representation-theory
group-actions
The mysterious isomorphism between coinduction and induction
category-theory
modules
representation-theory
noncommutative-algebra
adjoint-functors
What is internal direct sum or internal direct product in Dummit and Foote?
abstract-algebra
modules
direct-sum
direct-product
graded-rings
Isomorphism of an endomorphism ring, how can $R\cong R^2$?
abstract-algebra
modules
noncommutative-algebra
The simple modules of upper triangular matrix algebras.
modules
representation-theory
Embeddings $A → B → A$, but $A \not\cong B$?
abstract-algebra
modules
universal-algebra
Finitely generated vs presented
abstract-algebra
modules
finitely-generated
Exercise 4 Hungerford's Algebra IV.3.
abstract-algebra
solution-verification
modules
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