My Math Forum Example of a local field of positive characteristic?

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 December 1st, 2014, 10:06 AM #1 Newbie   Joined: Dec 2014 From: iran Posts: 4 Thanks: 0 Example of a local field of positive characteristic? I am looking for a local field of positive characteristic, like $Q^{2}_{2}$ was used in this article: in fact, i need an another Example of a local field of positive characteristic like $Q^{2}_{2}$ . Last edited by zarei175; December 1st, 2014 at 10:17 AM.
 December 1st, 2014, 10:37 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Well, every finite field has positive characteristic, so pick the prime power of your choice.
 December 1st, 2014, 11:42 AM #3 Newbie   Joined: Dec 2014 From: iran Posts: 4 Thanks: 0 Do you mean that $Q_{p}$ (p is prime.) is a local field of positive characteristic? but, as far as I know, characteristic of $Q_{p}$ is 0.
 December 1st, 2014, 12:33 PM #4 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms I don't know what Q_p means in your terminology. If you look at https://en.wikipedia.org/wiki/Local_field it gives the field of Laurent series over a given finite field as an example of a local field of nonzero characteristic. Thanks from zarei175

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