Model theoretic algebra has witnessed remarkable progress in the last few years. It has found profound applications in o
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English Pages 166 [184] Year 2000
Table of contents :
Content: Preliminaries on valued and ordered modules Non-archimedean exponential fields Valuation theoretic interpretation of the growth and Taylor axioms The exponential rank Construction of exponential fields Models for the elementary theory of the reals with restricted analytic functions and exponentiation Exponential Hardy fields The model theory of contraction groups Bibliography Index List of notation.