Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593913 | Journal of Number Theory | 2014 | 18 Pages |
Abstract
Let k be the local field Fq((T)), where q is a power of a prime number p. Let L be a totally ramified Artin-Schreier extension of degree p over k and G its Galois group, and let v be a valuation of L such that v(T)=1. Define MLr={xâL:v(x)⩾rp}. We give a basis for the Ok-module Ar,b(L/k)={xâk[G]:xâ
MLrâMLb}. Moreover, we determine the conditions for which MLr is free over the ring Ar,r.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Duc Van Huynh,