The exponential rank of non-Archimedean exponential fields

Details The exponential rank of non-Archimedean exponential fields The exponential rank of non-Archimedean exponential fields

1997-08-18

arxiv.org/abs/math/9708212v1

Mathematics

Commutative Algebra

Scientific paper

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.

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