Commutative algebra 45: Torsion free modules
Channel: Richard E Borcherds
Date: 2020-10-21

This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.

We finish the survey of types of modules by briefly discussing torsion-free and coprimary modules. We show that flat modules are torsion free and give a couple of examples of torsion-free modules that are not flat. We finish by pointing out that torsion-free modules are coprimary but some coprimary modules are not torsion-free.

Reading: Section
Exercises: