Tootfinder

@arXiv_mathRT_bot@mastoxiv.page
2025-05-30 10:03:00

This https://arxiv.org/abs/2403.15001 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Torsion pairs in categories of modules on ringed finite sites
Let $\mathcal{C}$ be a small category. In this paper, we mainly study the category of modules $\mathfrak{M}\mbox{od-}\mathfrak{R}$ on ringed sites $(\mathbf{C},\mathfrak{R})$. We firstly reprove the Theorem A of the paper (M. Wu and F. Xu. Skew category algebras and modules on ringed finite sites. J. A. 631, 2023), then we characterize $\mathfrak{M}\mbox{od-}\mathfrak{R}$ in terms of the torsion modules on $Gr(\mathfrak{R})$, where $Gr(\mathfrak{R})$ is the linear Grothendieck construction of $…