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$R$ a domain subset of a field $K$. $I\trianglelefteq R$, show $I$ is a projective $R$-module

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#abstract-algebra #modules #projective-module
511
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projective module which is a submodule of a finitely generated free module

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#commutative-algebra #modules #projective-module #finitely-generated #free-modules
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Flat modules over a PID

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#abstract-algebra #modules #projective-module #flatness #free-modules
87
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Projectivity of a module

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#abstract-algebra #modules #projective-module #artinian
479
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Proving a module is projective.

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#abstract-algebra #modules #projective-module
34
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Proving a specific module is projective.

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#abstract-algebra #modules #projective-module
90
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$M\otimes_A N\cong A$ implies $M$ is left $A$-projective?

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#abstract-algebra #modules #tensor-products #projective-module
230
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Proof of equivalence of two definitions of a projective module

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#abstract-algebra #homological-algebra #projective-module
191
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Problem based on Projective and Injective Module

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#projective-module #injective-module
75
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Splitting two exact sequences in a compatible way

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#abstract-algebra #commutative-algebra #modules #projective-module #free-modules
296
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A question about projective modules and free modules.

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#modules #direct-sum #projective-module #free-modules
79
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Norm induced on a projective module over a Banach algebra

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#normed-spaces #banach-algebras #projective-module
188
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Finitely generated projective module $M$ over integral domain $R$ such that $M \oplus R \cong R^2$ and $M\otimes N \cong R$ for some module $N$

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#commutative-algebra #modules #tensor-products #exact-sequence #projective-module
64
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Invertible ideals and locally free module

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#commutative-algebra #modules #projective-module
141
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Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

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#reference-request #commutative-algebra #modules #ideals #projective-module

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