4 citations · 7 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…