3 papers
math.CT2025
Locally finitely presented Grothendieck categories with a flat generator
Lorenzo Martini, Carlos E. Parra, Manuel Saorín +1
A problem raised by Cuadra and Simson in 2007 asks whether any locally finitely presented Grothendieck category with enough flat objects also has enough projectives. In this paper,…
math.CT2024
Hearts of set-generated t-structures have a set of generators
Manuel Saorín
We show that if is a regular cardinal, is an -compactly generated triangulated category, in the sense of Neeman \cite{N}, and is a t-structure in $\mathcal…
math.RA2024
A poisonous example to explicit resolutions of unbounded complexes
Dolors Herbera, Wolfgang Pitsch, Manuel Saorín +1
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to r…