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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.CT2022
Exactness of limits and colimits in abelian categories revisited
A. Argudín-Monroy, C. E. Parra
Let be a small category and be a -co-complete (resp. -complete) abelian category. It is a well-known fact that the category $\operatorname{Fun}(Σ,\mathcal{A…