Algebraic geometry and commutative algebra, 7.5 credits

About the course

The course covers rings, ideals, prime ideals, nilpotency, zero divisors, modules, Noetherian rings, Hilbert's basis theorem, finite extensions and Noetherian normalization, Nullstellensatz, Spec, rings of quotients, primary decomposition. Algebraic geometry is the study of solutions of systems of polynomial equations. Commutative algebra is the basic algebraic tool. The course is an introduction to these fields. One example of application is coding theory.

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