A notion of mutation pairs of subcategories in an abelian category is defined in this article.
For an extension closed subcategory 𝒵 and a rigid subcategory 𝒟⊂ 𝒵, the subfactor …

Let $\land $ be an artin algebra. This paper presents a sufficient condition for the
subcategory $\mathcal {P}^{i}(\land) $ of $\mod\land $ to be contravariantly finite in …

We show that direct summands of certain additive functors arising as bifunctors with a fixed
argument in an abelian category are again of that form whenever the fixed argument has …

We classify thick subcategories of the bounded derived category of a hereditary abelian
category A in terms of subcategories of A. The proof can be applied to characterize the …

Let A be a quasi-hereditary algebra. The aim of this paper is to show that the category of all
A-modules with good filtrations is functorially finite in A-mod, thus it has (relative) almost split …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

We characterize the finiteness of the representation type of an artin algebra in terms of the
behavior of the projective covers and the injective envelopes of the simple modules with …

Auslander-Reiten duality for module categories is generalized to some sufficiently nice
subcategories. In particular, our consideration works for $\mathcal {P}^{<\infty}(\Lambda) …

The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

We give an alternative proof to the fact that, if the square of the infinite radical of the module
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …