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arXiv · 2004.03239

On Rayner structures

Lothar Sebastian Krapp·Salma Kuhlmann·Michele Serra
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Abstract

In this note, we study substructures of generalised power series fields induced by families of well-ordered subsets of the group of exponents. We characterise the set-theoretic and algebraic properties of the induced substructures in terms of conditions on the families. We extend the work of Rayner by giving both \emph{necessary} and sufficient conditions to obtain truncation closed subgroups, subrings and subfields.

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Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra. 2020-04-07. On Rayner structures. https://doi.org/10.1080/00927872.2021.1976789

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