| Autor: |
Kuhlmann, Salma, Lehéricy, Gabriel |
| Rok vydání: |
2017 |
| Předmět: |
|
| Zdroj: |
Mathematische Zeitschrift (2018) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s00209-018-2132-z |
| Popis: |
We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank and of the difference rank. We give several characterizations of this rank. We then give a method to define a derivation on a field of generalized power series and use this method to show that any totally ordered set can be realized as the principal differential rank of a H-field. |
| Databáze: |
arXiv |
| Externí odkaz: |
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