Class Notes Commutative Algebra
(WS 2013/14)
- Complete notes (131 pages, last updated October 21, 2023)
- Chapter 0: Introduction
- Chapter 1: Ideals
- Chapter 2: Prime and Maximal Ideals
- Chapter 3: Modules
- Chapter 4: Exact Sequences
- Chapter 5: Tensor Products
- Chapter 6: Localization
- Chapter 7: Chain Conditions
- Chapter 8: Prime Factorization and Primary Decompositions
- Chapter 9: Integral Ring Extensions
- Chapter 10: Noether Normalization and Hilbert's Nullstellensatz
- Chapter 11: Dimension
- Chapter 12: Valuation Rings
- Chapter 13: Dedekind Domains
Any comments and corrections are welcome!