New posts in modules

Pathologies in module theory

abstract-algebra ring-theory vector-spaces modules big-list

If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring [closed]

abstract-algebra ring-theory modules noetherian

Example of modules that are projective but not free; torsion-free but not free

abstract-algebra commutative-algebra modules

admissible submodule and direct summand

linear-algebra abstract-algebra ring-theory commutative-algebra modules

How to prove that $Hom_A(V,W)$ and $End_A(V)$ are noetherian

abstract-algebra modules

for any ring $A$ the matrix ring $M_n(A)$ is simple if and only if $A$ is simple

abstract-algebra matrices ring-theory modules noncommutative-algebra

A ring without the Invariant Basis Number property

linear-algebra abstract-algebra modules

Submodule of free module over a p.i.d. is free even when the module is not finitely generated?

abstract-algebra ring-theory modules principal-ideal-domains

Finding an explicit isomorphism from $\mathbb{Z}^{4}/H$ to $\mathbb{Z} \oplus \mathbb{Z}/18\mathbb{Z}$

abstract-algebra modules abelian-groups

For an $R$-module $M$, and an ideal $I$ of $R$, does $IM=M$ imply $I=R$?

abstract-algebra ring-theory commutative-algebra modules ideals

Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$

abstract-algebra proof-verification modules tensor-products

Proving that the tensor product is right exact

modules homological-algebra tensor-products

What is the Tor functor?

commutative-algebra modules homological-algebra derived-functors

What does Module Load do?

13.04 modules

Why isn't an infinite direct product of copies of $\Bbb Z$ a free module?

abstract-algebra modules projective-module