2020/09/12 by Joshua Frisch, Frisch, Joshua, Forte Shinko +1
Mathematics · #13J99 #16W80 #20K45 #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Logic (math.LO) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · doi:10.48550/arxiv.2009.05855
openalex publication_date 2020/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.