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arXiv · 1610.10058

Truncation In Unions of Hahn Fields with a Derivation

Santiago Camacho
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Abstract

Truncation in Generalized Series fields is a robust notion, in the sense that it is preserved under various algebraic and some transcendental extensions. In this paper, we study conditions that ensure that a truncation closed set extends naturally to a truncation closed differential ring, and a truncation closed differential field has a truncation closed Liouville closure. In particular, we introduce the Notion of IL-closedness in Unions of Hahn fields in order to determine that this condition is sufficient to preserve truncation in those two settings for constructions such as the field of logarithmic-exponential transseries.

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Santiago Camacho. 2016-10-31. Truncation In Unions of Hahn Fields with a Derivation. https://arxiv.org/abs/1610.10058

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