0-> A-> B-> C-> 0 is called an almost split sequence if a) it is not splitable, b) A and C are
indecomposable A-modules and c) if f: X-> C is not a splitable epimorphism, then there is an …

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 …

zeltschrlft Page 1 Math. 2. 208, 2097223 (1991) Mathemattsche zeltschrlft © Springer-Veda g
1991 The category of modules with good filtrations over a quasi-hereditary algebra has almost …

We now list some of the basic properties of almost split sequences established in [5].
Copyright 81977 by Marcel Dekker, Inc. All Rights Reserved. Neither this work nor any part …

Let C be a skeletally small abelian category with only a finite number of non-isoaorphic
simple objects and such that each object in C has finite length. Then C has a finite number of …

Throughout this paper A denotes an artin algebra over a commutative artin ring R; ie, A is an
R-algebra which is finitely generated as an R-module. All A-modules are assumed to …

In their study of the representation theory of finite-dimensional tensor algebras Dlab and
Ringet [Ill described certain modules which they called preprojective and preinjective …

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 …

INTRODUCTION. An artin algebra is an Artin ring which is a finitely generated module over
its center R, which is also an Artin ring. For an Artin algebra A we denote by mod (A) the …

Let A be a hereditary artin algebra with s= s (A) simple modules. The indecomposable A-
modules without self-extensions are of great importance, they may be called exceptional …