3 papers
math.RT2020
The HRS tilting process and Grothendieck hearts of t-structures
Carlos E. Parra, Manuel Saorín
In this paper we revisit the problem of determining when the heart of a t-structure is a Grothendieck category, with special attention to the case of the Happel-Reiten-Smalø (HSR)…
math.RA2019
Torsion pairs in categories of modules over a preadditive category
Manuel Saorín, Carlos Parra, Simone Virili
It is a result of Gabriel that hereditary torsion pairs in categories of modules are in bijection with certain filters of ideals of the base ring, called Gabriel filters or Gabriel…
math.CT2017
Properties of abelian categories via recollements
Carlos E. Parra, Jorge Vitória
A recollement is a decomposition of a given category (abelian or triangulated) into two subcategories with functorial data that enables the glueing of structural information. This…