4 citations · 7 across the 7 of their papers we have counts for
10 papers
Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories
Sergio Estrada, Manuel Cortés-Izurdiaga, Sinem Odabasi
For a given family of adjoint triples between exact categories or , we show that any cotorsio…
K-flatness in Grothendieck categories: Application to quasi-coherent sheaves
Sergio Estrada, James Gillespie, Sinem Odabaşı
Let be any closed symmetric monoidal Grothendieck category. We show that K-flat covers exist universally in the category of chain complexes and that the Ver…
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…
The tensor embedding for a grothendieck cosmos
Henrik Holm, Sinem Odabasi
While the Yoneda embedding and its generalizations have been studied extensively in the literature, the so-called tensor embedding has only received little attention. In this paper…
Completeness of the induced cotorsion pairs in categories of quiver representations
Sinem Odabasi
Given a complete hereditary cotorsion pair in an abelian category satisfying certain conditions, we study the completeness of the induced…
Phantom covering ideals in categories without enough projective morphisms
Sergio Estrada, Pedro A. Guil Asensio, Sinem Odabasi
We give sufficient conditions to ensure that the ideal of -phantom maps in a locally -presentable exact category is (spe…
Gorenstein flat and projective (pre)covers
Sergio Estrada, Alina Iacob, Sinem Odabasi
We consider a right coherent ring R. We prove that the class of Gorenstein flat complexes is covering in the category of complexes of left R-modules Ch(R). When R is also left n-pe…
Pure exact structures and the pure derived category of a scheme
Sergio Estrada, James Gillespie, Sinem Odabaşi
Let be closed symmetric monoidal Grothendieck category. We define the pure derived category with respect to the monoidal structure via a relative injective model categ…
Pure injective and absolutely pure sheaves
Edgar Enochs, Sergio Estrada, Sinem Odabaşı
We study two notions of purity in categories of sheaves: the categorical and the geometric. It is shown that pure injective envelopes exist in both cases under very general assumpt…
A Lazard-like theorem for quasi-coherent sheaves
Sergio Estrada, Pedro A. Guil Asensio, Sinem Odabasi
We study filtration of quasi--coherent sheaves. We prove a version of Kaplansky Theorem for quasi--coherent sheaves, by using Drinfeld's notion of almost projective module and the…