Commutative algebra is the basis for both algebraic number theory and algebraic geometry.

We plan to discuss modules, tensor products and flatness over commutative rings, Noetherian and Dedekind rings, Hilbert basis theorem, integral dependence, going-up and going-down theorems, Noether normalization, the Nullstellensatz, localization, primary decompostion, regular rings and DVRs and other topics depending on time.

Kurs im HIS-LSF

Semester: WT 2025/26
Test field: WT 2025/26
ePortfolio: No