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 …

We study the non-zero composition of n irreducible morphisms between modules in a
regular component of the Auslander-Reiten quiver Γ A, lying in the n+ 1-th power of the …

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

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

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

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 $\Lambda $ be an artin algebra or, more generally, a locally bounded associative
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …

On Sectional Paths in a Category of Complexes of Fixed Size Page 1 Algebr Represent Theor
(2017) 20:289–311 DOI 10.1007/s10468-016-9643-2 On Sectional Paths in a Category of …

Let Λ be an Artin algebra and be an object in, the morphism category of Λ. We will describe
the Auslander–Reiten translate of, ie, as an object in. It is shown that, even though there may …

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 …