3 papers
math.CT2025
Recollements, coproducts and products in extriangulated categories
Alejandro Argudín-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.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.RT2011
On the existence and construction of proper costratifying systems
Octavio Mendoza, Maria Inés Platzeck, Melina Verdecchia
In this paper we further study the notion of proper costratifying systems, defined in \cite{MPV}. We give sufficient conditions for their existence, and investigate the relation be…