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!
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
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!