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

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