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Prove that $M$ is a free module if and only if $M$ is a projective module over $PID$.

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#abstract-algebra #ring-theory #modules #principal-ideal-domains #projective-module
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Why $\prod_{i\in I} \Bbb Z$ is not a projective $\Bbb Z$-module?

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#abstract-algebra #modules #projective-module
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Finitely generated projective modules are isomorphic to their double dual.

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#abstract-algebra #projective-module
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projective dimension and localization

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#commutative-algebra #homological-algebra #localization #projective-module
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An invariant submodule of a projective module

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#abstract-algebra #modules #projective-module #group-rings
122
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Why is $M=\{(x_i)\in R^n: \sum r_ix_i=0\}$ a projective module?

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#abstract-algebra #commutative-algebra #projective-module
152
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Question on Nakayama?

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#abstract-algebra #algebraic-geometry #commutative-algebra #modules #projective-module
224
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A few questions about a specific ring

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#abstract-algebra #ring-theory #modules #noncommutative-algebra #projective-module
244
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Is ${\bf Z}_m$ a projective ${\bf Z}$-module?

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#abstract-algebra #projective-module
146
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Clarification about some proof of Projectivity

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra #projective-module
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Triangular Matrices and Simple Modules

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#abstract-algebra #matrices #ring-theory #projective-module
714
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Annihilator of a projective module is always a projective idempotent ideal?

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#proof-verification #commutative-algebra #projective-module
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Projective module over a PID is free?

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#abstract-algebra #commutative-algebra #modules #principal-ideal-domains #projective-module
68
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Prove some statements about projective modules

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#abstract-algebra #projective-module
181
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Requirements on ring for injective-projectiveness

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#abstract-algebra #commutative-algebra #modules #projective-module #injective-module

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