Year: 2026
Type: preprint
Abstract: We consider the ring M of column-finite matrices with integer coefficients. We prove that M-modules form an additive closed symmetric monoidal abelian category that essentially contains complete metrizable linearly topologized abelian groups as a full subcategory. We also introduce and discuss the notion of an M-ring. In the end, we show that the category of M-modules (resp. M-rings) is actually equivalent to the category of light solid abelian groups (resp. light solid rings) of Clausen and Scholze, which should come as no surprise to specialists. However, we believe that our more straightforward approach may offer a fresh perspective on their theory.
Source: arXiv (Cornell University)
Author: Stum, Bernard Le
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7168247334
Cites:
Cited by:
Related to: