List questions from projective-module

Published on 14 Apr 2026 - 18:29

334

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Generic freeness: $M$ f.g. projective, then there is $a\notin \mathfrak p$ for which $M[a^{-1}]$ is a free $R[a^{-1}]$-module.

Published on 16 Apr 2026 - 8:51

1.5k

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Is a stably free module always free?

Published on 10 Apr 2026 - 13:54

51

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projectile motion (dynamic) stone

Published on 14 Apr 2026 - 16:09

79

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simple projectile motion problem solving equation

Published on 13 Apr 2026 - 2:53

6.3k

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Is every submodule of a projective module projective?

Published on 13 Apr 2026 - 18:17

321

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Non finitely-generated projective $\mathbb{Z}$-module

Published on 13 Apr 2026 - 11:23

173

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Inversion of an element in Picard group over commutative ring

Published on 07 May 2026 - 11:56

331

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Is a projective $R[G]$-module a projective $R[H]$-module if $H$ is a subgroup of $G$?

Published on 10 Apr 2026 - 21:39

54

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$pd(M) \leq n$ implies $\ker(P_n \to P_{n-1})$ projective

Published on 16 Apr 2026 - 5:18

421

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Trouble on Aluffi's Exercise 5.5, Chapter 6: finitely generated projective module over a local ring is free

Published on 14 Apr 2026 - 4:40

979

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Are projective modules "graded projective"?

Published on 10 May 2026 - 15:40

494

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A non-projective module

Published on 14 Apr 2026 - 17:50

553

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Picard group of $\mathbb Z[\sqrt{-5}]$

Published on 10 Apr 2026 - 6:05

63

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Prove that |Λ/e| = |Λ|-|P|

Published on 14 May 2026 - 6:18

List Question

Rank of projective module defined as the smallest $n$ such that $P$ is a direct summand of $R^n$

Generic freeness: $M$ f.g. projective, then there is $a\notin \mathfrak p$ for which $M[a^{-1}]$ is a free $R[a^{-1}]$-module.

Is a stably free module always free?

projectile motion (dynamic) stone

simple projectile motion problem solving equation

Is every submodule of a projective module projective?

Non finitely-generated projective $\mathbb{Z}$-module

Inversion of an element in Picard group over commutative ring

Is a projective $R[G]$-module a projective $R[H]$-module if $H$ is a subgroup of $G$?

$pd(M) \leq n$ implies $\ker(P_n \to P_{n-1})$ projective

Trouble on Aluffi's Exercise 5.5, Chapter 6: finitely generated projective module over a local ring is free

Are projective modules "graded projective"?

A non-projective module

Picard group of $\mathbb Z[\sqrt{-5}]$

Prove that |Λ/e| = |Λ|-|P|

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