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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…