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Graded commutative algebra

  1. Feb 21, 2008 #1

    Hurkyl

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    Is there a good reference for commutative algebra of graded rings and modules?

    I've only found little bits and pieces in other texts (e.g. Hartshorne's Algebraic Geometry), and I would like to avoid having to dive fully into the theory of modules over preadditive categories! (And I'd prefer not to have to guess at the right way to generalize definitions & theorems from ordinary commutative algebra)
     
  2. jcsd
  3. Feb 21, 2008 #2
    Modules over preadditive categories? I don't see that in Hartshorne. Are you talking about sheaves of modules?

    Anyway, I recommend Eisenbud's Commutative Algebra. I don't know what you specifically want to know about graded algebras, but I'm sure you can find something useful in that book.
     
  4. Feb 21, 2008 #3

    Hurkyl

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    Modules over preadditive categories was a separate thought from the Hartshorne bit. I do have a text on that, but it never specializes any results specifically to graded rings. (It doesn't even do much specialization to ordinary rings!)
     
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