4 papers
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…
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…
Universal co-Extensions of torsion abelian groups
Alejandro Argudín-Monroy, Carlos E. Parra
In [16], a theory of universal extensions in abelian categories is developed; in particular, the notion of Ext-universal object is presented. In the present paper, we show that an…
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…