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We will study the resolution dimension of functorially finite subcategories. The subcategories
with the resolution dimension zero correspond to ring epimorphisms, and rejective …

Let D be a full subcategory of an abelian category A. We study the relation between the
following properties of the subcategory D.(1) The subcategory D is contravariantly finite in …

We consider functorially finite subcategories in module categories over Artin algebras. One
main result provides a method, in the setup of bounded derived categories, to compute …

Tilting theory has been a very important tool in the classification of finite dimensional
algebras of finite and tame representation type, as well as, in many other branches of …

Motivated by constructions in the representation theory of finite dimensional algebras we
generalize the notion of Artin–Schelter regular algebras of dimension n to algebras and …

In [5, 6, 7] Drozd showed that the class of finite dimensional algebras over an arbitrary
algebraically closed field splits into two disjoint subclasses: representa-tion-tame algebras …

In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …

We introduce a notion of generalized Serre duality on a Hom-finite Krull–Schmidt
triangulated category T. This duality induces the generalized Serre functor on T, which is a …

In this paper we introduce a new class of artin algebras; we call the algebras stable and
characterize them in terms of their projective modules. For a given artin algebra A, we show …