Polish模的一个二分法
A dichotomy for Polish modules
摘要：
设$R$是一个具有真范数的环.证明了在$R$上适当的条件下，不可数生成的Polish $R$ -模集在连续线性注入下存在自然基.当$R$是一个除环时，这个基可以看作是一个单例基。
英文摘要：
Let $R$ be a ring equipped with a proper norm. We show that under suitable conditions on $R$, there is a natural basis under continuous linear injection for the set of Polish $R$-modules which are not countably generated. When $R$ is a division ring, this basis can be taken to be a singleton.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
