The valuation difference rank of an ordered difference field
| hal.structure.identifier | Faculty of Mathematics and Computer Science [Konstanz] | |
| dc.contributor.author | KUHLMANN, Salma | |
| hal.structure.identifier | Fonds de la Recherche Scientifique [FNRS] | |
| dc.contributor.author | POINT, Francoise | |
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | MATUSINSKI, Mickael | |
| dc.date.accessioned | 2024-04-04T02:19:37Z | |
| dc.date.available | 2024-04-04T02:19:37Z | |
| dc.date.created | 2013-01-11 | |
| dc.date.issued | 2017-11-01 | |
| dc.identifier.isbn | 978-3-319-51717-9 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189419 | |
| dc.description.abstractEn | There are several equivalent characterizations of the valuation rank of an ordered field (endowed with its natural valuation). In this paper, we extend the theory to the case of an ordered difference field and introduce the notion of {\it difference rank}. We characterize the difference rank as the quotient modulo the equivalence relation naturally induced by the automorphism (which encodes its growth rate). In analogy to the theory of convex valuations, we prove that any linearly ordered set can be realized as the difference rank of an ordered difference field. | |
| dc.language.iso | en | |
| dc.publisher | Springer International Publishing | |
| dc.source.title | Groups, Modules, and Model Theory - Surveys and Recent Developments. | |
| dc.title.en | The valuation difference rank of an ordered difference field | |
| dc.type | Chapitre d'ouvrage | |
| dc.identifier.doi | 10.1007/978-3-319-51718-6_23 | |
| dc.subject.hal | Mathématiques [math]/Logique [math.LO] | |
| dc.identifier.arxiv | 1301.2611 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.title.proceeding | Groups, Modules, and Model Theory - Surveys and Recent Developments. | |
| hal.identifier | hal-00947101 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00947101v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Groups,%20Modules,%20and%20Model%20Theory%20-%20Surveys%20and%20Recent%20Developments.&rft.date=2017-11-01&rft.au=KUHLMANN,%20Salma&POINT,%20Francoise&MATUSINSKI,%20Mickael&rft.isbn=978-3-319-51717-9&rft.genre=unknown |
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