The discussion centers on identifying examples of local fields of positive characteristic, specifically referencing Q22. A key example provided is the field of p-adic numbers, which is established as a local field of positive characteristic. To create a local field, one can utilize an integral ring of positive characteristic, such as the ring of polynomials over F_p, and localize it according to a prime ideal, such as the ideal of polynomials that are multiples of X.
PREREQUISITESMathematicians, algebraists, and students of number theory interested in local fields and their applications in algebraic structures.
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).zarei175 said:
