Algebra Supplementary Problems for Zariski/Samuel's Commutative Alg.

[bacte2013]

Dear teachers,

I am curious if you know some good books that have problems well supplemented to "Commutative Algebra I-II" by Zariski/Samuel. I am really enjoying it, but it does not have any exercise, leaving me to try coming up with my own problems (it is fun to do, but I would like to solve some concrete problems too). Essentially, I would like books that contain a lot of problems about commutative algebra to supplement Zariski/Samuel (I am not planning to read those supplementary books).

Also, is it a good idea to read a book in the computational commutative algebra along with Zariski/Samuel? I am very interested in studying Grobner basis, which Z/S does not have.

 

[fresh_42]

I have this book, which is full of exercises. However, I don't know whether there is a solution manual to them.
(11 chapters with ≈10-30 exercises per chapter)

https://www.amazon.com/dp/0201407515/?tag=pfamazon01-20

 

[bacte2013]

I have this book, which is full of exercises. However, I don't know whether there is a solution manual to them.
(11 chapters with ≈10-30 exercises per chapter)

https://www.amazon.com/dp/0201407515/?tag=pfamazon01-20

Does it have similar flow as Z/S? If they cover topics in different arrangement or viewpoints, then the problem sets might not really suit the chapters well.

 

[fresh_42]

I don't know Z/S so I can't tell. It's a standard textbook on commutative rings.

 

[mathers101]

Do every exercise in Atiyah-Macdonald. Alternatively, you could look at Eisenbud's book

 

[bacte2013]

Do every exercise in Atiyah-Macdonald. Alternatively, you could look at Eisenbud's book

I am using Z/S and A/M. I do not like Eisenbud; it is very verbose.

 

[MathematicalPhysicist]

I have this book, which is full of exercises. However, I don't know whether there is a solution manual to them.
(11 chapters with ≈10-30 exercises per chapter)

https://www.amazon.com/dp/0201407515/?tag=pfamazon01-20

There's some solution manual which you can find in library genesis, mind you someone warned me that there are fatal mistakes in this SM.