← Theoretical / proof-based

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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

Completion and Hensel's lemma

Commutative algebra · Theoretical / proof-based

Topic

Completion and Hensel's lemma

Practice by unit: Homological algebra tools

Graduate Commutative Algebra — scope drawn from open commutative algebra notes and typical US graduate commutative algebra syllabi.

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