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Commutative Algebra - Andreas Gathmann

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Andreas Gathmann - Commutative Algebra (WS 2013/14)

Complete notes (132 pages, 1000KB, last updated November 12, 2017)
0.Introduction (pdf)
1.Ideals (pdf)
2.Prime and Maximal Ideals (pdf)
3.Modules (pdf)
4.Exact Sequences (pdf)
5.Tensor Products (pdf)
6.Localization (pdf)
7.Chain Conditions (pdf)
8.Prime Factorization and Primary Decompositions (pdf)
9.Integral Ring Extensions (pdf)
10.Noether Normalization and Hilbert's Nullstellensatz (pdf)
11.Dimension (pdf)
12.Valuation Rings (pdf)
13.Dedekind Domains (pdf)

Any comments and corrections welcome!