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MAT 651 - Commutative Algebra I (10) - Prereq: MAT 552, Coreq: - Libri Introduction to Commutative Algebra, Atiyah and MacDonald
Rings and ideals, modules, exact sequences, tensor products, integral dependence and valuations, the going-up and going -down theorem, chain conditions, Notherian rings, dicrete valuation rings, Dedekind domains. Basic knowledge of commutative ring theory, field theory, Galois theory, and group theory will be assumed.