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Part 1. Commutative Algebra
Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
Extension of Coefficients and Descent
Homological Methods: Ext and Tor
Part 2. Algebraic Geometry
Affine Schemes and Basic Constructions
Techniques of Global Schemes
Étale and Smooth Morphisms
Projective Schemes and Proper Morphisms.

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