5 citations · 17 across the 12 of their papers we have counts for
16 papers
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,…
Universal co-Extensions of torsion abelian groups
Alejandro Argudín-Monroy, Carlos E. Parra
In [16], a theory of universal extensions in abelian categories is developed; in particular, the notion of Ext-universal object is presented. In the present paper, we show that an…
Torsion and torsion-free classes from objects of finite type in Grothendieck categories
Daniel Bravo, Sinem Odabaşı, Carlos E. Parra +1
In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the class of -injective objects to be a torsion class. By doing so, we propose a…
Tilting preenvelopes and cotilting precovers in general Abelian categories
Carlos E. Parra, Manuel Saorín, Simone Virili
We consider an arbitrary Abelian category and a subcategory closed under extensions and direct summands, and characterize those that are (…
Local Coherence of Hearts Associated with Thomason Filtrations
Lorenzo Martini, Carlos E. Parra
Any Thomason filtration of a commutative ring yields (at least) two t-structures in the derived category of the ring, one of which is compactly generated [Hrb20,HHZ21]. We study th…
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)…