List questions from free-modules

Published on 08 Mar 2019 - 7:23

95

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

Published on 08 Mar 2019 - 19:07

115

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Homology of the Torus over a Module

Published on 10 Mar 2019 - 8:29

46

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

Published on 11 Mar 2019 - 23:10

81

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Concern about algebraic integer

Published on 21 Mar 2019 - 15:09

63

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Factor of a product ring can not be free

Published on 23 Mar 2019 - 17:48

43

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

Published on 25 Mar 2026 - 6:21

37

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

Published on 10 Apr 2019 - 14:05

175

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lattices in the complex plane from 3 elements

Published on 10 Apr 2019 - 19:29

93

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What does this Module notation mean?

Published on 10 Apr 2019 - 21:24

180

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

Published on 25 Mar 2026 - 2:59

205

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Projective modules in long exact sequences

Published on 17 Apr 2019 - 7:19

198

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

Published on 19 Apr 2019 - 21:47

56

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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 28 Apr 2019 - 10:06

89

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

Published on 29 Apr 2019 - 6:30

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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