Newbetuts

Show that $1\otimes (1,1,\ldots)\neq 0$ in $\mathbb{Q} \otimes_{\mathbb{Z}} \prod_{n=2}^{\infty} (\mathbb{Z}/n \mathbb{Z})$.

The Krull dimension of a module

A question about a proof of Noetherian modules and exact sequences

Additive exact functors preserve homology of modules

Motivation behind the ingredients of First Cohomology group $H^1$

Showing that the ideal $(x,y)$ in $k(x,y)$ is not locally free. [duplicate]

Generator/generators for cyclic group $\mathbb Z[i]/(11-8i)$, given the following isomorphism: [duplicate]

Decomposing a $\mathbb Z[i]$-module using Smith normal form

The induced map $\overline{\pi}: \operatorname{Hom}(Z_2,Z) \to\operatorname{Hom}(Z_2,Z_2)$?

An isomorphism concerned about any finitely generated projective module

Torsion free modules, free modules

Minimal free resolution

Dual Commutes with Base Change

Help to show that $\bigoplus_{i\in\mathbb{N}}\mathbb{Z}\cong\operatorname{Hom}(\prod_{i\in\mathbb{N}}\mathbb{Z},\mathbb{Z})$.

New posts in modules

Characterising subgroups of Prüfer $p$-groups.

Atiyah and MacDonald, Proposition 2.4

An explicit imbedding of $(R\mathbf{-Mod})^{op}$ into $S\mathbf{-Mod}$

Is $\Bbb Q/\Bbb Z$ artinian as a $\Bbb Z$-module?

Is $R$ a PID if every submodule of a free $R$-module is free?

Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)

Show that $1\otimes (1,1,\ldots)\neq 0$ in $\mathbb{Q} \otimes_{\mathbb{Z}} \prod_{n=2}^{\infty} (\mathbb{Z}/n \mathbb{Z})$.

The Krull dimension of a module

A question about a proof of Noetherian modules and exact sequences

Additive exact functors preserve homology of modules

Motivation behind the ingredients of First Cohomology group $H^1$

Showing that the ideal $(x,y)$ in $k(x,y)$ is not locally free. [duplicate]

Generator/generators for cyclic group $\mathbb Z[i]/(11-8i)$, given the following isomorphism: [duplicate]

Decomposing a $\mathbb Z[i]$-module using Smith normal form

The induced map $\overline{\pi}: \operatorname{Hom}(Z_2,Z) \to\operatorname{Hom}(Z_2,Z_2)$?

An isomorphism concerned about any finitely generated projective module

Torsion free modules, free modules

Minimal free resolution

Dual Commutes with Base Change

Help to show that $\bigoplus_{i\in\mathbb{N}}\mathbb{Z}\cong\operatorname{Hom}(\prod_{i\in\mathbb{N}}\mathbb{Z},\mathbb{Z})$.