The differential rank of a differential-valued field
| dc.contributor.author | Kuhlmann, Salma | |
| dc.contributor.author | Lehéricy, Gabriel | |
| dc.date.accessioned | 2019-09-20T08:23:57Z | |
| dc.date.available | 2019-09-20T08:23:57Z | |
| dc.date.issued | 2019 | eng |
| dc.description.abstract | We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank developed in Kuhlmann (The Fields Institute Monograph Series 12, 2000) and of the difference rank developed in Kuhlmann (Groups, Modules and Model Theory—Surveys and Recent Developments in Memory of Rdiger Gbel, pp 399–414, 2017). 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. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1707.09493v2 | eng |
| dc.identifier.doi | 10.1007/s00209-018-2132-z | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/40733.2 | |
| dc.language.iso | eng | eng |
| dc.subject | Valuation, Differential field, Differential-valued field, H-field, Asymptotic couple, Generalized power series | eng |
| dc.subject.ddc | 510 | eng |
| dc.subject.msc | 12H05 | |
| dc.subject.msc | 12J10 | |
| dc.subject.msc | 12J15 | |
| dc.subject.msc | 13F25 | |
| dc.subject.msc | 16W60 | |
| dc.title | The differential rank of a differential-valued field | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Kuhlmann2019diffe-40733.2,
year={2019},
doi={10.1007/s00209-018-2132-z},
title={The differential rank of a differential-valued field},
number={3-4},
volume={292},
issn={0025-5874},
journal={Mathematische Zeitschrift},
pages={1017--1049},
author={Kuhlmann, Salma and Lehéricy, Gabriel}
} | |
| kops.citation.iso690 | KUHLMANN, Salma, Gabriel LEHÉRICY, 2019. The differential rank of a differential-valued field. In: Mathematische Zeitschrift. 2019, 292(3-4), pp. 1017-1049. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2132-z | deu |
| kops.citation.iso690 | KUHLMANN, Salma, Gabriel LEHÉRICY, 2019. The differential rank of a differential-valued field. In: Mathematische Zeitschrift. 2019, 292(3-4), pp. 1017-1049. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2132-z | eng |
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