Essential localizations and infinitary exact completion.
Étude élémentaire des catégories
Exact completion and representations in abelian categories.
Extension categories and their homotopy
Extensions of covariantly finite subcategories revisited
Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of homotopy cartesian square in an extriangulated category is defined in this article. We prove that in an extriangulated category with enough projective objects, the extension subcategory of two covariantly finite subcategories is covariantly finite. As an application, we give a simultaneous generalization of a result of X. W. Chen (2009) and...