Almost split sequences of modules were introduced and studied in the last three papers in
the series [1,..., 6] by Auslander and Reiten and, with the related simple functors and …

Almost split sequences, introduced and investigated by Auslander and Reiten [2-6], form a
distinguished class of short exact sequences; amongst other properties, their end terms are …

Introduction. Let A be an artin algebra and mod A the category of finitely generated (left) A-
modules. In this paper we shall develop sane techniques for constructing almost split …

Throughout this paper modA denotes the category of finitely generated A-modules over an
artin algebra A. We say that a covariant or contravariant functor F from modA to abelian …

The main purpose of these talks is to in~ roduce the notion of almost split 11equences. The
first talk is devoted to giving various consequences of their e~ istence in order to indicate the …

Let A be an artin algebra, for example a finite dimensional algebra over a field k and C an
indecomposable nonprojective finitely generated left A-module. Then there is an exact …

One of the main results of the Auslander and Reiten theory [1] of finitely generated modules
over an Artin algebra A is that there exists an operator, denoted DTr, which maps the non …

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 [1] various applications of the existence and uniqueness of almost split sequences for
artin algebras were given. These results motivate trying to get some more information on …

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 …