Different and trace

Let E/F be a finite separable field extension and suppose given a discrete valuation on F that has a unique extension to E. We prove the relation d = e − 1 + c, where d is the differential exponent, e the ramification and c the trace contraction.

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Bibliographic Details
Published inJournal of pure and applied algebra Vol. 80; no. 3; pp. 299 - 304
Main Author Lewittes, Joseph
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 27.07.1992
North-Holland
Subjects
Algebra
Exact sciences and technology
Field theory and polynomials
Mathematics
Sciences and techniques of general use
Trace
Field extension
Contraction
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Summary:Let E/F be a finite separable field extension and suppose given a discrete valuation on F that has a unique extension to E. We prove the relation d = e − 1 + c, where d is the differential exponent, e the ramification and c the trace contraction.
ISSN:0022-4049
1873-1376
DOI:10.1016/0022-4049(92)90147-8