List questions from projective-module

Published on 27 Mar 2026 - 23:37

77

Views

About the Properties of Perspective Projection to Lower Dimension

Published on 25 Mar 2026 - 20:19

224

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Kernel of a morphism between projective modules and base change

Published on 12 Apr 2026 - 3:32

199

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Constructing the projection of a projective module from its dual basis

Published on 12 Apr 2026 - 7:27

119

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Constructing a resolution from other projective resolutions and a short exact sequence

Published on 15 Apr 2026 - 8:36

171

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Infinite direct sum of projective modules

Published on 12 Apr 2026 - 8:39

357

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Existence of Projective Cover

Published on 11 May 2026 - 7:21

90

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Isomorphism of Projective Modules

Published on 11 May 2026 - 4:59

39

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The property $m \otimes_A n = 0$ for modules over an algebra

Published on 14 Apr 2026 - 16:27

54

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Prove that if $X/A$ is a free module and if $A$ is a submodule of $X$, then $A$ is a direct summand of $X$

Published on 11 Apr 2026 - 17:38

45

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Vector bundle with space of sections Finite projective module

Published on 27 Mar 2026 - 21:16

506

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Projective modules and lifting property

Published on 16 Apr 2026 - 11:48

126

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Extension of a projective submodule along a surjective map

Published on 13 Apr 2026 - 13:02

141

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$\rho:P \to M$ a projective cover for $M$ semi-perfect module. Prove $M$ is indecomposable if and only if $P$ is indecomposable.

Published on 16 Apr 2026 - 23:27

136

Views

Are finite projective modules locally free without axiom of choice?

Published on 16 Apr 2026 - 15:57

List Question

$\operatorname{pd}(M)\leq n\implies\operatorname{Ext}_{R}^{n+1}(M,N)=0$

About the Properties of Perspective Projection to Lower Dimension

Kernel of a morphism between projective modules and base change

Constructing the projection of a projective module from its dual basis

Constructing a resolution from other projective resolutions and a short exact sequence

Infinite direct sum of projective modules

Existence of Projective Cover

Isomorphism of Projective Modules

The property $m \otimes_A n = 0$ for modules over an algebra

Prove that if $X/A$ is a free module and if $A$ is a submodule of $X$, then $A$ is a direct summand of $X$

Vector bundle with space of sections Finite projective module

Projective modules and lifting property

Extension of a projective submodule along a surjective map

$\rho:P \to M$ a projective cover for $M$ semi-perfect module. Prove $M$ is indecomposable if and only if $P$ is indecomposable.

Are finite projective modules locally free without axiom of choice?

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