Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588640 | Journal of Algebra | 2007 | 22 Pages |
Abstract
Let K be a field of characteristic p>0, the K-vector space of n-differential forms and the Artin–Schreier operator given by . Let and define . We show that for any finite extension L/K, νp(K)⩽νp(L)⩽νp(K)+1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory