Question

Dual module $M^\#$ contains non-torsion element if $M$ does

score 205 · Answer 1 · 2026-03-25 03:22:52

205

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Dual module $M^\#$ contains non-torsion element if $M$ does

Published on 25 Mar 2026 - 3:22

score 57 · Answer 2 · 2026-03-25 11:54:15

57

Views

Indecomposable graded $A$-modules with $\operatorname{End}_A(M)/\mathfrak m\neq k$

Published on 25 Mar 2026 - 11:54

score 167 · Answer 3 · 2026-03-26 09:40:04

167

Views

Prove that $n^4-n$ is divisible by 2 for all integer

Published on 26 Mar 2026 - 9:40

score 38 · Answer 4 · 2018-09-14 06:29:30

38

Views

Show $M \bigotimes\limits_R N$ is an $R-S-$bimodule via $s\sum\limits_\text{finite} m_i \otimes n_i = \sum\limits_\text{finite} m_i \otimes (sn_i)$.

Published on 14 Sep 2018 - 6:29

score 83 · Answer 5 · 2026-03-26 03:00:55

83

Views

Is $M$ an $A$-module with finite presentation?

Published on 26 Mar 2026 - 3:00

score 54 · Answer 6 · 2026-02-23 00:29:39

54

Views

$R = \mathbb{Z}/m\mathbb{Z}$, and consider $R^n$ for any $n,m$. For what values of $m$ is $R$ a semisimple $R$-module?

Published on 23 Feb 2026 - 0:29

score 552 · Answer 7 · 2026-03-25 04:39:15

552

Views

Endomorphism between direct sum of modules $M := M_1 \oplus M_2$

Published on 25 Mar 2026 - 4:39

score 853 · Answer 8 · 2026-03-25 03:20:41

853

Views

If the direct sum of a module with a free module is free, then that module is zero

Published on 25 Mar 2026 - 3:20

score 541 · Answer 9 · 2026-03-25 22:03:54

541

Views

Kernel of a surjective module morphism $f : R^2 \rightarrow R$ is a free submodule

Published on 25 Mar 2026 - 22:03

score 283 · Answer 10 · 2018-09-17 20:00:51

283

Views

Perfect Pairing and submodules

Published on 17 Sep 2018 - 20:00

score 71 · Answer 11 · 2018-09-18 17:12:26

71

Views

Is there a name for this kind of „quotient module“?

Published on 18 Sep 2018 - 17:12

score 56 · Answer 12 · 2018-09-19 03:05:08

56

Views

A property of the reject of modules

Published on 19 Sep 2018 - 3:05

score 111 · Answer 13 · 2026-03-17 10:59:33

111

Views

Could we define injective modules or projective modules for topological modules?

Published on 17 Mar 2026 - 10:59

score 88 · Answer 14 · 2026-03-25 04:37:20

88

Views

Computing Ext for a complex of modules, help with a proof in Stacks Project

Published on 25 Mar 2026 - 4:37

score 1.3k · Answer 15 · 2026-03-26 23:43:01

1.3k

Views

Absolutely Flat Ring

Published on 26 Mar 2026 - 23:43

List Question

Dual module $M^\#$ contains non-torsion element if $M$ does

Indecomposable graded $A$-modules with $\operatorname{End}_A(M)/\mathfrak m\neq k$

Prove that $n^4-n$ is divisible by 2 for all integer

Show $M \bigotimes\limits_R N$ is an $R-S-$bimodule via $s\sum\limits_\text{finite} m_i \otimes n_i = \sum\limits_\text{finite} m_i \otimes (sn_i)$.

Is $M$ an $A$-module with finite presentation?

$R = \mathbb{Z}/m\mathbb{Z}$, and consider $R^n$ for any $n,m$. For what values of $m$ is $R$ a semisimple $R$-module?

Endomorphism between direct sum of modules $M := M_1 \oplus M_2$

If the direct sum of a module with a free module is free, then that module is zero

Kernel of a surjective module morphism $f : R^2 \rightarrow R$ is a free submodule

Perfect Pairing and submodules

Is there a name for this kind of „quotient module“?

A property of the reject of modules

Could we define injective modules or projective modules for topological modules?

Computing Ext for a complex of modules, help with a proof in Stacks Project

Absolutely Flat Ring

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