论文标题
关于Rayner结构
On Rayner structures
论文作者
论文摘要
在本说明中，我们研究由指数群体的良好子集的家族引起的广义功率系列场的子结构。我们表征了诱导子结构在家庭条件方面的固定理论和代数特性。我们通过提供\ emph {必要}和足够的条件来获得截断封闭的子组，子环和子场来扩展Rayner的工作。
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.
