Publication: Ordered transexponential fields
Ordered transexponential fields
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Krapp, L. S., & Kuhlmann, S. (2025). Ordered transexponential fields. Annals of Pure and Applied Logic, 176(4), 103541. https://doi.org/10.1016/j.apal.2024.103541
Abstract
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Abstract
We develop a first-order theory of ordered transexponential fields in the language , where e and T stand for unary function symbols. While the archimedean models of this theory are readily described, the study of the non-archimedean models leads to a systematic examination of the induced structure on the residue field and the value group under the natural valuation. We establish necessary and sufficient conditions on the value group of an ordered exponential field to admit a transexponential function T compatible with e. Moreover, we
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- Krapp, Lothar Sebastian
- Kuhlmann, Salma
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Krapp, L. S., & Kuhlmann, S. (2025). Ordered transexponential fields. Annals of Pure and Applied Logic, 176(4), 103541. https://doi.org/10.1016/j.apal.2024.103541
