Article ID Journal Published Year Pages File Type
4588640 Journal of Algebra 2007 22 Pages PDF
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