List questions from modules

Published on 06 May 2018 - 6:14

64

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Module which is not a quotient of a product

Published on 07 May 2018 - 16:32

395

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$\operatorname{Hom}_{R}(M, N) \cong \operatorname{Hom}_{S}(S \otimes_{R} M, N)$

Published on 07 May 2018 - 19:17

110

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A direct product of projective modules

Published on 07 May 2018 - 21:49

350

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Loewy series of modules

Published on 26 Mar 2026 - 23:28

562

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The Construction of the Tensor Product of Modules

Published on 08 May 2018 - 0:37

68

Views

Is $(((a \text{ mod } n)* a \text{ mod } n) * a \text{ mod } n) = aaa \text{ mod } n$?

Published on 26 Mar 2026 - 21:35

364

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An infinite direct product of simple module over semisimple ring

Published on 08 May 2018 - 19:38

82

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Trouble in proof of Jordan Canonical Theorem

Published on 25 Mar 2026 - 10:57

107

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Algebra over an algebraically closed field

Published on 10 May 2018 - 13:08

420

Views

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

Published on 22 Mar 2026 - 18:45

2.4k

Views

Vector Spaces: Understanding the basics

Published on 11 May 2018 - 4:19

63

Views

$\mathbb{C}^3$ as a pointwise alegbra has only one simple module: true or false?

Published on 11 May 2018 - 11:40

48

Views

Let $M$ be an irreducible $R$-module and $N$ be the order ideal of $m \in M$. Show that $N$ is maximal in $R_{R}$

Published on 25 Mar 2026 - 20:12

24

Views

Does locally a summand imply summand?

Published on 11 May 2018 - 19:16

List Question

Exact sequence of $Hom(, M)$.

Module which is not a quotient of a product

$\operatorname{Hom}_{R}(M, N) \cong \operatorname{Hom}_{S}(S \otimes_{R} M, N)$

A direct product of projective modules

Loewy series of modules

The Construction of the Tensor Product of Modules

Is $(((a \text{ mod } n)* a \text{ mod } n) * a \text{ mod } n) = aaa \text{ mod } n$?

An infinite direct product of simple module over semisimple ring

Trouble in proof of Jordan Canonical Theorem

Algebra over an algebraically closed field

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

Vector Spaces: Understanding the basics

$\mathbb{C}^3$ as a pointwise alegbra has only one simple module: true or false?

Let $M$ be an irreducible $R$-module and $N$ be the order ideal of $m \in M$. Show that $N$ is maximal in $R_{R}$

Does locally a summand imply summand?

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