List questions from projective-module

Published on 11 Oct 2014 - 18:08

331

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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 31 Oct 2014 - 1:44

1.5k

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Is a stably free module always free?

Published on 31 Oct 2014 - 21:48

49

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projectile motion (dynamic) stone

Published on 27 Mar 2026 - 5:34

76

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simple projectile motion problem solving equation

Published on 02 Nov 2014 - 15:36

6.3k

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Is every submodule of a projective module projective?

Published on 02 Nov 2014 - 16:37

318

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

Published on 02 Nov 2014 - 20:30

165

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Inversion of an element in Picard group over commutative ring

Published on 19 Mar 2026 - 18:22

328

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

Published on 16 Nov 2014 - 15:36

51

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

Published on 20 Nov 2014 - 11:16

419

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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 25 Nov 2014 - 19:10

975

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Are projective modules "graded projective"?

Published on 25 Mar 2026 - 9:33

491

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A non-projective module

Published on 07 Dec 2014 - 9:54

550

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

Published on 14 Dec 2014 - 15:46

43

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Prove that |Λ/e| = |Λ|-|P|

Published on 27 Mar 2026 - 3:40

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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