This manuscript solves the problem that the so-called “stable category” Mod Λ of an Artin
algebra is in general not triangulated. The method is to mimick topology and hence first form …

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 …

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 find sufficient and necessary conditions for the category of Gorenstein projective
modules of an artin algebra being an abelian category, and give another proof for the …

We study the homotopy category of unbounded complexes of Gorenstein-projective
modules with bounded relative homologies. We show the existence of a right recollement of …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

Introduction. The study of homologically finite subcategories has turned out to be important
in several contexts, especially in the representation theory of artin algebras. In this paper we …

Let A be an Artin algebra and let Gprj-Λ denote the class of all the finitely generated
Gorenstein projective Λ-modules. In this paper, we study the components of the stable …

We investigate the (separated) monomorphism category $\operatorname
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra $\Lambda $. We show that there …

We solve a long standing open problem concerning the structure of finite cycles in the
category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the …