这是MAT8041抽象代数III的随堂笔记:

看起来有点乱,按章节整理了一下:

Chapter 1 General Structure Theory

1.1 Core Concepts

1.2 Categorical Language

1.3 Homological Properties of Modules

1.4 Semisimple Theory

Chapter 2 Ideal Theory of Integral Domains

2.1 Foundations

2.2 The Local Picture: Valuation Rings

2.3 The Global Picture: Dedekind Domains

Chapter 3 Application: Introduction to Modular Representation Theory