Commutative Algebra: Winter Term 2019/2020

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Author(s): Gabor Wiese
Edition: version 2019-09-10
Publisher: Université du Luxembourg Press
Year: 2019

Language: English
Commentary: Downloaded from http://158.64.76.181/bitstream/10993/34936/1/2019-Wiese-Commutative-Algebra.pdf

Table of contents
Basic ring theory
Rings
Modules
Integrality
Affine plane curves
Modules
Direct sums, products, free modules and exact sequences
Localisation
Advanced ring theory
Noetherian rings and Hilbert's Basissatz
Krull dimension in integral ring extensions
Dedekind rings
Hilbert's Nullstellensatz