We introduce the concept of maximal orthogonal subcategories over artin algebras and
orders, and develop higher Auslander-Reiten theory on them. Auslander-Reiten theory …

We consider functorially finite subcategories in module categories over Artin algebras. One
main result provides a method, in the setup of bounded derived categories, to compute …

We shall sketch the existence of Auslander-Reiten sequences for Artin algebras and for
orders, which is based on a common construction, pointing out where exactly the cases of …

Consider a full subcategory of the category of finitely generated modules over an Artin
algebra or of the category of lattices over an order. Suppose the subcategory is closed under …

The representation theory of artin algebras, as we understand it to-day, is a relatively new
area of mathematics, as most of the main developments have occurred since the late sixties …

In this pper we study the relevance of almost split sequences for the study of certain
problems in the functor categories nod (mod A) and mod (rrod A). One connection between …

These notes are based on a series of three lectures given at the Advanced Study Institute
(NATO ASI) in Algebra-Representation Theory in Constantza in August 2000. The notes are …

Let Λ be an Artin algebra, let modΛ be the category of finitely generated Λ-modules, and let
A⊂ modΛ be a contravariantly finite and extension closed subcategory. For an …

We first introduce the notion of an Auslander-Reiten sequence in a Krull-Schmidt category.
This unifies the notion of an almost split sequence in an abelian category and that of an …