New posts in modules

What are the semisimple $\mathbb{Z}$-modules?

Proof of $M$ Noetherian if and only if all submodules are finitely generated

Show the direct sum of noetherian R-modules is noetherian.

What's the intuition behind a split exact sequence?

Exercise with Nakayama's lemma

Symmetric and exterior powers of a projective (flat) module are projective (flat)

Prove that $M$ is a free module if and only if $M$ is a projective module over $PID$.

Whence this generalization of linear (in)dependence?

Tensor product of two finitely generated modules

Modules which are isomorphic to their tensor product.

Analogue for simple modules in vector space setting

If $0$ is the zero-object $ \Longrightarrow F(0) $ is the zero object when $F$ additive

What Are R-Modules Used For?

Let $R$ be a commutative domain with field of fractions $F$. Prove that $F$ is an injective $R$-module.

Do both versions (invariant and primary) of the Fundamental Theorem for Finitely Generated Abelian Groups hold at the same time?

Number of indecomposable direct summands of $A/AeA$ for a finite dimensional basic algebra $A$ and idempotent $e$

How can I know if my an application on my desktop environment is loading other DE's modules, libraries, etc?

The torsion submodule of $\prod \mathbb{Z}_p$ is not a direct summand of $\prod \mathbb{Z}_p$

Why is cofiniteness included in the definition of direct sum of submodules?

Triggering driver module rebuild on kernel update