In this program
- Projective
- Injective modules
- Ext and Tor functors (definitions and basic computations)
- Depth and Auslander–Buchsbaum formula (introduction)
- Completion and Hensel's lemma
- Smooth and étale morphisms (preview)
Homological algebra tools
Ext and Tor functors (definitions and basic computations)
Commutative algebra · Theoretical / proof-based
Topic
Ext and Tor functors (definitions and basic computations)
Graduate Commutative Algebra — scope drawn from open commutative algebra notes and typical US graduate commutative algebra syllabi.