2021–22–B
Prof. Amnon Yekutieli
Abstract
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Course topics
Course Topics
- Modules: free modules, exact sequences, tensor products, Hom modules, flatness.
- Prime ideals and localization: local rings, Nakayama’s Lemma, the spectrum of a ring, dimension and connectedness.
- Noetherian rings: the Hilbert basis theorem, the Artin-Rees lemma, completion, grading.
- Dimension theory: the Hilbert nullstellensatz, Noether normalization, transcendence degree.