… of preprojective and preinject& modules over arbitrary artin algebras. As would be expected,
the … , the initial discussion in this paper of preprojective and preinjective partitions as well as …

… If A is an artin algebra there is a partition of ind A, the category of indecomposable finitely …
-* jective partition. We show that Pl can be easily constructed for hereditary artin algebras, if P,_ …

… an artin algebra and the preprojective partition of … preprojective partition for a given algebra
is the question whether we can find an algorithm which will give us the preprojective partition …

… of two partitions of the finitely generated indecompos able modules over an Artin algebra.
They are dual and we can describe one of the partions as follows : For - any Artin algebra A …

… In this section we want to use the existence of a unique preprojective partition o{ ind A {or
an artin algebra A to study the problem o{ existence of modules A in ind A such that all …

… algebra A . The purpose of this paper is to continue the study of the preprojective partition for
hereditary artin algebras … of the preprojective partition for a hereditary artin algebra in terms …

… Let A be an artin algebra, let mod A be the category of … the preprojective and preinjective
partition of ind A was established. More precisely the preprojective partition of ind A is a partition …

… preprojective theory for artin algebras. A remaining problem is to find algorithms which enable
us to describe in general the preprojective … to determine the preprojective modules using …

… In this paper we investigate upper bounds for the length of the preprojective partition for
selfinjective algebras. The preprojective partition has been defined for arbitrary Artin algebras by …

… Our result thus contains a good deal of information even if we assume that R is an artin algebra.
… Then we investigate hereditary artin algebras such that all modules in PI have a simple …