We study which irreducible morphisms in the category of complexes of fixed size C n (proj A)
with n≥ 2 and A an artin algebra, are irreducible in C [0, n](proj A) or either in C n+ 1 (proj …

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

If H is a hereditary abelian category with tilting object, then it is shown that H is derived
equivalent to a module category over a hereditary artin algebra provided H contains a …

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 …

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 studies properties of a class of modules over an artin algebra called trace
quotient modules whichwe define below. We were led to consider these modules during our …

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 …

MODULES DETERMINED BY THEIR TOPS AND SOCLES Page 1 proceedings of the
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …

Let A be an Artin algebra and modA be the category of finitely generated right A-modules.
We prove that an additive full subcategory C of modA closed under predecessors is …

We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …