3 papers
math.RT2026
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 ca…
math.CT2025
Recollements, coproducts and products in extriangulated categories
Alejandro ArgudÃn-Monroy, Octavio Mendoza, Carlos E. Parra
We introduce a notion similar to the AB4 (resp. AB4{*}) condition for abelian categories but in the context of extriangulated categories. We will refer to this notion as AET4 (resp…
math.RA2024
TTF classes generated by silting modules
Alejandro Argudin-Monroy, Daniel Bravo, Carlos E. Parra
We study the conditions under which a TTF class in a module category over a ring is silting. Using the correspondence between idempotent ideals over a ring and TTF classes in the m…