On Rayner structures
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.
PDF AbstractCategories
Commutative Algebra
Logic
Rings and Algebras
Mathematics Subject Classification 2020: Primary: 13J05, Secondary:
12J20, 16W60, 06F20
