ossu / ossu/math

Petition to add commutative algebra

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Description

Commutative algebra is the study of commutative ring and is a ticket to a lot of modern mathematics. For example, homological algebra, algebraic number theory, algebraic geometry, arithmetic geometry, Diophantine geometry. It is impossible for a algebra-focused student to continue without the study of commutative algebra. This is the reason I open this issue.

Which year and prerequisite?

In the book Introduction to Commutative Algebra by Michael Atiyah and I. G. MacDonald, the introduction said

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of providing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra.

Resources

One of the most classics out there is Introduction to Commutative Algebra by Michael Atiyah and I. G. MacDonald. I have found PDF file here. It was uploaded publicly by a professor from Université Claude Bernard Lyon 1, so it's not likely to be some violation of copyright (If it is piracy let's find equivalences somewhere else). There is a discussion on the prerequisite of this book on stackexchange

There is a list that strictly follow the book mentioned above (final two chapters are missing though): https://www.youtube.com/watch?v=VKxT2lkmMVE&list=PLq-Gm0yRYwTjBziGqSW9kFF9o2l5ECDvY

Another list but it follows a different book (Commutative Algebra - with a View Toward Algebraic Geometry): https://www.youtube.com/watch?v=QOTf8KfrZFU&list=PL8yHsr3EFj53rSexSz7vsYt-3rpHPR3HB

Of course I'm always open to discuss further. Hope it helps!

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

The issue mentions no repository files, tests, or entry points. Start by locating how mathematical subjects and prerequisites are represented, then review the existing curriculum structure and contribution guidance. Done would mean commutative algebra has an agreed place, prerequisites, and learning resources in the project.

Written by the indexing model from the issue text.

Assessment

Domain
content
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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