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Reference Solutions for ``Introduction to Commutative Algebra''

Translated by DeepSeek V4 Pro. Translations can be inaccurate, please refer to the original post for important stuff.

This semester, one of our courses is “Commutative Algebra,” which is an upgraded version of undergraduate Abstract Algebra. The textbook we are using is Atiyah’s Introduction to Commutative Algebra. According to the instructor’s syllabus, we are required to complete and present some of the exercises from the book... I must say, this course is quite demanding!

As I progressed through the exercises, I eventually stopped drafting them by hand and began inputting the solutions directly using LaTeX. This makes both typesetting and revisions much more convenient. I am sharing them here for any readers who might find them useful. The solutions are written in Chinese with relatively detailed annotations, making them suitable for students who have just started learning this subject.

The part I have completed: Reference Solutions for “Introduction to Commutative Algebra”.pdf

Of course, this set of solutions only covers the specific exercises required by our instructor. Below is a complete set of exercise solutions found online, which is in English:

Solutions found online: Jeffrey Daniel Kasik Carlson - Exercises to Atiyah.pdf

If there are any errors in the solutions, please feel free to point them out in the comments.