List questions from free-modules

Published on 11 Apr 2026 - 3:48

98

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Finding a basis of $S \otimes_R N$ with $N$ a free $R$-module

Published on 15 Apr 2026 - 21:12

118

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Homology of the Torus over a Module

Published on 14 Apr 2026 - 14:04

48

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On the free vector space $F(V)$ over another vector space $V$

Published on 17 Apr 2026 - 6:07

84

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Concern about algebraic integer

Published on 11 Apr 2026 - 13:48

66

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Factor of a product ring can not be free

Published on 13 Apr 2026 - 21:00

44

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Prove that a finitely generated $\mathbb F_p[t]$-module is a free $\mathbb F_p[t]$-module.

Published on 10 May 2026 - 12:37

40

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Passing from $\mathbb{F}_p$ to $\mathbb{Z}$.

Published on 15 Apr 2026 - 21:49

178

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lattices in the complex plane from 3 elements

Published on 14 Apr 2026 - 20:28

96

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What does this Module notation mean?

Published on 13 Apr 2026 - 16:07

196

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Does the category of $(R,S)$-bimodules contain a free object on one generator?

Published on 26 Apr 2026 - 3:17

207

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Projective modules in long exact sequences

Published on 12 Apr 2026 - 1:42

201

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$R^{\mathbb N}$ as a free $R$-module.

Published on 14 Apr 2026 - 10:07

59

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When is a free submodule $N$ of a free module $M$ the set of solutions of a system of linear equations?

Published on 14 Apr 2026 - 10:14

91

Views

Let $X$ be any set. Prove there exist a vector space $V$ such that $X$ is a basis for $V$

Published on 14 Apr 2026 - 16:35

List Question

Do free modules over ring without identity exist?

Finding a basis of $S \otimes_R N$ with $N$ a free $R$-module

Homology of the Torus over a Module

On the free vector space $F(V)$ over another vector space $V$

Concern about algebraic integer

Factor of a product ring can not be free

Prove that a finitely generated $\mathbb F_p[t]$-module is a free $\mathbb F_p[t]$-module.

Passing from $\mathbb{F}_p$ to $\mathbb{Z}$.

lattices in the complex plane from 3 elements

What does this Module notation mean?

Does the category of $(R,S)$-bimodules contain a free object on one generator?

Projective modules in long exact sequences

$R^{\mathbb N}$ as a free $R$-module.

When is a free submodule $N$ of a free module $M$ the set of solutions of a system of linear equations?

Let $X$ be any set. Prove there exist a vector space $V$ such that $X$ is a basis for $V$

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