List questions from projective-module

Published on 12 Apr 2026 - 11:18

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Projective cover of a simple module and indecomposable factor modules

Published on 14 Apr 2026 - 13:02

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Projective Resolution of $\mathbb{Q}$ and $\mathbb{Q}/\mathbb{Z}$

Published on 17 Apr 2026 - 14:31

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When are free modules extended

Published on 15 Apr 2026 - 11:06

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Example of a simple module which does not occur in the regular module?

Published on 12 Apr 2026 - 13:18

82

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Non-trivial stably free, projective right ideals

Published on 16 Apr 2026 - 6:45

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Is a finitely generated projective module a direct summand of a finitely generated free module?

Published on 13 Apr 2026 - 3:18

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direct sum of projective modules

Published on 14 Apr 2026 - 2:02

172

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Projective modules are stably isomorphic if localization at a monic polynomial is isomorphic

Published on 13 Apr 2026 - 6:18

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A direct product of projective modules which is not projective

Published on 11 Apr 2026 - 15:24

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Finitely Presented Modules and Exact Sequences

Published on 14 Apr 2026 - 13:51

226

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Localization at a monic polynomial: Horrocks' theorem

Published on 12 Apr 2026 - 0:08

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Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.

Published on 16 Apr 2026 - 20:51

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The relationship of free, divisible, projective, injective, and flat modules.

Published on 27 Mar 2026 - 3:41

107

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Projective Module as a Direct Sum of Left Ideals

Published on 13 Apr 2026 - 13:02

List Question

Modules which are isomorphic to their tensor product.

Projective cover of a simple module and indecomposable factor modules

Projective Resolution of $\mathbb{Q}$ and $\mathbb{Q}/\mathbb{Z}$

When are free modules extended

Example of a simple module which does not occur in the regular module?

Non-trivial stably free, projective right ideals

Is a finitely generated projective module a direct summand of a finitely generated free module?

direct sum of projective modules

Projective modules are stably isomorphic if localization at a monic polynomial is isomorphic

A direct product of projective modules which is not projective

Finitely Presented Modules and Exact Sequences

Localization at a monic polynomial: Horrocks' theorem

Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.

The relationship of free, divisible, projective, injective, and flat modules.

Projective Module as a Direct Sum of Left Ideals

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