3 papers
math.RT2025
Tilting objects in the extended heart of a -structure
Alejandro Argudin Monroy, Octavio Mendoza, Carlos E. Parra
Building on the recent work of Adachi, Enomoto and Tsukamoto on a generalization of the Happel-Reiten-Smalø tilting process, we study extended tilting objects in extriangulated cat…
math.RT2021
Relative tilting theory in abelian categories II: --tilting theory
Alejandro Argudin Monroy, Octavio Mendoza Hernandez
We introduce a relative tilting theory in abelian categories and show that this work offers a unified framework of different previous notions of tilting, ranging from Auslander-Sol…
math.RT2021
Relative tilting theory in abelian categories I: Auslander-Buchweitz-Reiten approximations theory in subcategories and cotorsion pairs
Alejandro Argudín Monroy, Octavio Mendoza Hernández
In this paper we introduce a special kind of relative (co)resolutions associated to a pair of classes of objects in an abelian category We will see that, by studying…