Ideals and Reality : Projective Modules and Number of Generators of Ideals

Basic Commutative Algebra 1.- to Projective Modules.- Stably Free Modules.- Serres Conjecture.- Continuous Vector Bundles.- Basic Commutative Algebra II.- Serres Splitting Theorem and Lindels Proof of Serres Conjecture.- Regular Rings.- Bounds on the Number of Generators.- Curves as Complete Intersection.