The exponential rank of non-Archimedean exponential fields
Commutative Algebra
2013-04-02 v1 Rings and Algebras
Abstract
Based on the work of Hahn, Baer, Ostrowski, Krull, Kaplansky and the Artin-Schreier theory, and stimulated by a paper of S. Lang in 1953, the theory of real places and convex valuations has witnessed a remarkable development and has become a basic tool in the theory of ordered fields and real algebraic geometry. In this paper, we take a further step by adding an exponential function to the ordered field.
Keywords
Cite
@article{arxiv.math/9708212,
title = {The exponential rank of non-Archimedean exponential fields},
author = {Franz-Viktor Kuhlmann and Salma Kuhlmann},
journal= {arXiv preprint arXiv:math/9708212},
year = {2013}
}