Let Λ be an artin algebra and C be a functorially finite subcategory of mod Λ which contains
Λ or DΛ. We use the concept of the infinite radical of C and show that C has an additive …

Let Λ be an artin algebra. We are going to consider full subcategories of modΛ closed under
finite direct sums and under submodules with infinitely many isomorphism classes of …

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 …

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 …

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

In this paper, is an artin algebra over a commutative artinian ring R, the radical of is denoted
by r, and mod is the category of finitely wx generated left-modules. The definitions, notation …

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 …

We study irreducible morphisms in the bounded derived category of finitely generated
modules over an Artin algebra Λ, denoted Db (Λmod), by means of the underlying category …

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 know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …