## The exponential rank of nonarchimedean exponential fields

2000
##### Authors
Kuhlmann, Franz-Viktor
##### Publication type
Contribution to a conference collection
##### Published in
Real Algebraic Geometry and Ordered Structures: AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures held at Louisiana State... April 17 - 21, 1996 / Delzell, Charles N. et al. (ed.). - Providence, RI : AMS, 2000. - (Contemporary Mathematics ; 253). - pp. 181-201
##### Abstract
For an exponential on a nonarchimedean ordered field, we introduce the notion of the exponential rank, in analogy to the rank of the field. This gives information about the growth rate of the exponential, and about the convex valuations on the field which are compatible with the exponential. We give several characterizations of these valuations, using maps induced by the exponential on the value group of the natural valuation and on the rank of the field. Finally, we construct exponential fields of arbitrary exponential rank.
510 Mathematics
##### Cite This
ISO 690KUHLMANN, Franz-Viktor, Salma KUHLMANN, 2000. The exponential rank of nonarchimedean exponential fields. In: DELZELL, Charles N., ed. and others. Real Algebraic Geometry and Ordered Structures: AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures held at Louisiana State... April 17 - 21, 1996. Providence, RI:AMS, pp. 181-201
BibTex
@inproceedings{Kuhlmann2000expon-564,
year={2000},
title={The exponential rank of nonarchimedean exponential fields},
number={253},
publisher={AMS},
series={Contemporary Mathematics},
booktitle={Real Algebraic Geometry and Ordered Structures: AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures held at Louisiana State... April 17 - 21, 1996},
pages={181--201},
editor={Delzell, Charles N.},
author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma}
}

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