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This lecture is part of an online course on rings and This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward ... This is episode 37 of a course on algebraic topology. We start with an introduction to basic concepts of homological algebra. You're literally one click away from a better setup — grab it now! As an Amazon Associate I earn ...

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Projective Modules and When Projectivity Fails
Free, Projective and Injective Modules
AVIII.6.1 - Projective and injective modules and the Ext functors
Commutative algebra 41 Locally free modules
37 Projective modules
every projective module has a free complement.
EX120 an example of projective module But not free
Modules and homological algebra. Lecture 21: resolutions (by Walter Mazorchuk)
Projective and Injective Modules (part 2) - April 30, 202

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Last Updated: June 23, 2026

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37 Projective modules

This is episode 37 of a course on algebraic topology. We start with an introduction to basic concepts of homological...