Supplementary Problems for Zariski/Samuel's Commutative Alg.

  • #1
bacte2013
398
47
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.
 
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  • #3
fresh_42 said:
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.
 
  • #4
I don't know Z/S so I can't tell. It's a standard textbook on commutative rings.
 
  • #5
Do every exercise in Atiyah-Macdonald. Alternatively, you could look at Eisenbud's book
 
  • #6
mathers101 said:
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.
 
  • #7
fresh_42 said:
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.
 
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