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.
- University course catalogue:
- 201.2.2011
- Level:
- Graduate
- Credits:
- 2.0
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