-> ๐˜พ๐™ค๐™ข๐™ฅ๐™ช๐™ฉ๐™–๐™ฉ๐™ž๐™ค๐™ฃ๐™–๐™ก ๐˜พ๐™ค๐™ข๐™ข๐™ช๐™ฉ๐™–๐™ฉ๐™ž๐™ซ๐™š ๐˜ผ๐™ก๐™œ๐™š๐™—๐™ง๐™–


We present our course in


Basic knowledge about Ring Theory is crucial to understand the contents of this course. You can find a compact version of my personal notes in Ring Theory here. Still, this course is under development, since I aim to include notes about even more practical and particular applications of Commutative Algebra to different modern settings.

๐Ÿ’—You can find and download all available chapters of this course for free in the following list. Problem sets are also available for each chapter. Exam models will also be uploaded shortly.


。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★  Notes by Chapters  ★。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。

Noetherian and Artinian Rings / Division Algorithm / Grรถbner Bases

Affine Varieties / Hilbert’s Nullstellensatz

Hilbert’s Nullstellensatz / Primary Decomposition

。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★ 。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。★。+๏พŸ☆๏พŸ+。


Studying for exam  ๐˜Œ๐˜น๐˜ข๐˜ฎ ๐˜”๐˜ฐ๐˜ฅ๐˜ฆ๐˜ญ๐˜ด ๐˜ช๐˜ฏ ๐˜š๐˜ต๐˜ข๐˜ฏ๐˜ฅ๐˜ข๐˜ณ๐˜ฅ ๐˜“๐˜ฆ๐˜ท๐˜ฆ๐˜ญ

First Midterm I (Without Grรถbner bases)


Student Head Explodes  ๐”ˆ๐”ต๐”ž๐”ช ๐”๐”ฌ๐”ก๐”ข๐”ฉ๐”ฐ ๐”ฆ๐”ซ โ„Œ๐”ž๐”ฏ๐”ก ๐”๐”ข๐”ณ๐”ข๐”ฉ


Thank you very much for reading this course!

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