2024/10/11 by Jiacheng Tang, Tang, Jiacheng
Mathematics · #16W80 #18B25 #18G15 #Advanced Combinatorial Mathematics #Category Theory (math.CT) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2410.08933
openalex publication_date 2024/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Solid abelian groups, as introduced by Dustin Clausen and Peter Scholze, form a subcategory of all condensed abelian groups satisfying some ''completeness'' conditions and having favourable categorical properties. Given a profinite ring R, there is an associated condensed ring \underlineR which is solid. We show that the natural embedding of profinite R-modules into solid \underlineR-modules preserves Ext and tensor products, as well as the fact that profinite rings are analytic.