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Example of a local field of positive characteristic?

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  1. Dec 1, 2014 #1
    I am looking for a local field of positive characteristic, like Q22 was used in this article:
    http://8pic.ir/images/s9oiiuqqkq989w3posu9.png
    in fact, i need an another Example of a local field of positive characteristic like Q22 .
     

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  2. jcsd
  3. Dec 6, 2014 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Dec 10, 2014 #3

    No problem here. First of all, I think you have remarked that the field of p-adic numbers is of positive characteristic. To create a local field easily, you can take any integral ring (in your case, take a ring R of positive characteristic like the ring of polynomials over F_p), and then LOCALIZE this ring according to some prime ideal of R (in the previous example, take some prime ideal like the ideal of polynomials multiple of X, then the localization is the ring of polynomial fractions P1/P2 where P2 is not multiple of X).
     
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