Publikation:

The valuation difference rank of an ordered difference field

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kuhlmann_212594.pdf
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Datum

2013

Autor:innen

Matusinski, Mickael
Point, Francoise

Herausgeber:innen

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http://nbn-resolving.de/urn:nbn:de:bsz:352-212594
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http://arxiv.org/abs/1301.2611

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Open Access Green

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Mathematik und Statistik: Publikationen
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Preprint
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Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

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ISO 690KUHLMANN, Salma, Mickael MATUSINSKI, Francoise POINT, 2013. The valuation difference rank of an ordered difference field
BibTex
@unpublished{Kuhlmann2013valua-21259,
  year={2013},
  title={The valuation difference rank of an ordered difference field},
  author={Kuhlmann, Salma and Matusinski, Mickael and Point, Francoise}
}
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