New posts in modules

$\Bbb{Q}$ is not a finitely generated $\Bbb{Z}$-module

How to show $S$ is a free left-module over itself of rank $n$ for any $n \in \mathbb{N}$?

What does $R-\mathrm{Mod}$ tell us about $R$?

Are submodules of finitely generated free modules always free?

Show $\mathbb{Q}[x,y]/\langle x,y \rangle$ is Not Projective as a $\mathbb{Q}[x,y]$-Module.

Endomorphisms of modules satisfying chain conditions and counterexamples.

Splicing together two short exact sequences

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

Doubt about the definition of free vector spaces.

commutative rings whose localization at every prime ideal is a field

Integrals of a Hopf algebra: Why that name?

Ring is Noetherian if it admits a faithful finitely generated module with ACC on submodules generated by ideals

$\mathbb{Z}_pH$-module

The mysterious isomorphism between coinduction and induction

What is internal direct sum or internal direct product in Dummit and Foote?

Isomorphism of an endomorphism ring, how can $R\cong R^2$?

The simple modules of upper triangular matrix algebras.

Embeddings $A → B → A$, but $A \not\cong B$?

Finitely generated vs presented

Exercise 4 Hungerford's Algebra IV.3.