New posts in modules

A free submodule of a free module having greater rank the submodule

Infinite linear independent family in a finitely generated $A$-module

$M\oplus A \cong A\oplus A$ implies $M\cong A$?

On Similarities and Differences Between Right and Left Modules over a Ring

Symmetric powers of modules

Given $n\in \mathbb N$, is there a free module with a basis of size $m$, $\forall m\geq n$?

I cannot install Python modules

Can extending a finite ground field make modules isomorphic?

The connection between decomposition of $\ker(f_\phi g_\phi)$ and the Chinese remainder theorem

Showing that localization is an exact functor

Finitely generated flat modules that are not projective

Proving that free modules are flat (without appealing projective modules)

If the tensor product of two modules is free of finite rank, then the modules are finitely generated and projective

Learning to think categorically (localization of rings and modules)

Annihilator of quotient module M/IM

Show that $\operatorname{Hom}_{R} (R,M) \cong M$

Noetherian and Artinian modules

Examples of faithfully flat modules

Why are noetherian and artinian modules important?

Defining algebras over noncommutative rings