In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

We mainly investigate abelian quotients of categories of short exact sequences. The natural
framework to consider the question is via identifying quotients of morphism categories as …

Let XX be a contravariantly finite resolving subcategory of mod-\varLambda mod-Λ, the
category of finitely generated right\varLambda Λ-modules. We associate to XX the …

Let Λ be an artin algebra and X be a quasi-resolving subcategory of mod-Λ which is of finite
type. Let SX (Λ) be the full subcategory of the morphism category H (Λ) consisting of all …