Introduction to Commutative Algebra(*)
Course topics
- Rings and ideals (revisited and expanded).
- Modules, exact sequences, tensor products.
- Noetherian rings and modules over them.
- Hilbert’s basis theorem.
- Finitely generated modules over PID.
- Hilbert’s Nullstellensatz.
- Affine varieties.
- Prime ideals and localization. Primary decomposition.
- Discrete valuation rings.
Course Information
- University course catalogue:
- 201.1.7071
- Level:
- Advanced Undergraduate
- Credits:
- 4.0