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15
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$\operatorname{pd}(M)\leq n\implies\operatorname{Ext}_{R}^{n+1}(M,N)=0$

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#abstract-algebra #modules #homological-algebra #projective-module
77
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About the Properties of Perspective Projection to Lower Dimension

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#geometry #vectors #analytic-geometry #projective-module #dimension-theory-analysis
221
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Kernel of a morphism between projective modules and base change

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#commutative-algebra #modules #tensor-products #projective-module
196
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Constructing the projection of a projective module from its dual basis

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#abstract-algebra #ring-theory #homological-algebra #projective-module
117
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Constructing a resolution from other projective resolutions and a short exact sequence

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#homology-cohomology #homological-algebra #projective-module
168
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Infinite direct sum of projective modules

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#abstract-algebra #representation-theory #homological-algebra #projective-module
355
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Existence of Projective Cover

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#abstract-algebra #category-theory #modules #projective-module #injective-module
87
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Isomorphism of Projective Modules

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#modules #homological-algebra #projective-module #k-theory
36
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The property $m \otimes_A n = 0$ for modules over an algebra

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#abstract-algebra #ring-theory #tensor-products #projective-module
52
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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 $X$

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#abstract-algebra #projective-module #free-modules
45
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Vector bundle with space of sections Finite projective module

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#ring-theory #vector-bundles #direct-sum #projective-module
503
Views

Projective modules and lifting property

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#commutative-algebra #modules #projective-module
123
Views

Extension of a projective submodule along a surjective map

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#algebraic-geometry #commutative-algebra #projective-module
138
Views

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

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#abstract-algebra #modules #homological-algebra #projective-module
134
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Are finite projective modules locally free without axiom of choice?

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#commutative-algebra #axiom-of-choice #projective-module #free-modules

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