New posts in modules

When does intersection commute with tensor product

Hom and direct sums

Flatness of subring

Localization of the $k\times k$-module $k\times\{0\}$ by $\{0\}\times k$

Proofs of the structure theorem for finitely generated modules over a PID

Being direct summand of free module implies having dual basis.

Lemma on infinitely generated projective modules

An example of a noncommutative PID

Example of Artinian module that is not Noetherian

Deducing results in linear algebra from results in commutative algebra

Torsion module Finite composition length

A surjective homomorphism between finite free modules of the same rank

Localization commutes with Hom for finitely-generated modules

Some basic book to start with modules?

Some exact sequence of ideals and quotients

Abelian groups and $\mathbb{Z}$-modules

A direct product of projective modules which is not projective

Using the result that short exact sequence is split exact to prove that module is injective

direct product commutes with tensor product?

If $M\oplus M$ is free, is $M$ free?