New posts in modules

Finitely generated modules over PID

A question about the tensor product of $\mathbb{Q}$

Is there any relation of injective modules to free modules?

Why a different tensor product for left $G$-modules (group representations)?

Modules over monoids vs algebra over monads

Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$? [closed]

Noetherian and Artinian modules are direct sum of finitely many indecomposible modules

Every non-finitely generated module has a minimal generating set.

If $A$ is a direct sum of matrix algebra over $C$, what are all finite dimensional simple $A$-modules?

$M' \to M \to M'' \to 0$ exact $\implies 0\to \text{Hom}(M'',N) \to \text{Hom}(M,N) \to \text{Hom}(M',N)$ is exact.

Book for Module Theory

Example of non-flat modules

If $f:M\to N$ is a morphism of $A$-modules, counter-example to $M\cong \operatorname{ker}f\oplus \operatorname{im}f$

Extension, restriction, and coextension of scalars adjunctions in the case of noncommutative rings?

Baer Sum notation requires clearence.

Tensor product of a number field $K$ and the $p$-adic integers

$v \otimes v' = v' \otimes v$ implies $v = av'$

Is it possible to make any abelian group homomorphism into a linear map?

$S^{-1}B$ and $T^{-1}B$ isomorphic for $T=f(S)$

If $\{M_i\}_{i \in I}$ is a family of $R$-modules free, then the product $\prod_{i \in I}M_i$ is free?