On Rayner structures

7 Apr 2020  ·  Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra ·

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. read more

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Commutative Algebra Logic Rings and Algebras Mathematics Subject Classification 2020: Primary: 13J05, Secondary: 12J20, 16W60, 06F20