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 …

If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …

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 …

Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …

In the category of finitely generated modules over an artinian ring, we classify all the abelian
exact subcategories closed under predecessors or, equivalently, all the split torsion pairs …

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 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 …

Let Λ be an artin algebra. It is shown in [4] that the module category modΛ has preprojective
and preinjective partitions and that Λ is of finite representation type if and only if either all …

This paper aims to initiate a study of the representation theory of representation-finite artin
algebras in terms of the nilpotency of the radical of their module category. Firstly, we shall …

Let Λ be a ℤ-graded artin algebra. It is proved that the category of graded Λ-modules is pure-
semisimple if and only if there are only finitely many nonisomorphic indecomposable finitely …