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math.AC2022
Generalised power series determined by linear recurrence relations
Lothar Sebastian Krapp, Salma Kuhlmann, Michele Serra
In 1882, Kronecker established that a given univariate formal Laurent series over a field can be expressed as a fraction of two univariate polynomials if and only if the coefficien…
math.AC2021★ 3 cited
The automorphism group of a valued field of generalised formal power series
Salma Kuhlmann, Michele Serra
Let be a field, a totally ordered abelian group and the maximal field of generalised power series, endowed with the canonical valuation . We…
math.AC2020★ 3 cited
On Rayner structures
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…