The purpose of this paper is to study the preprojective partition of a hereditary artin algebra.
For a hereditary algebra of finite representation type, we give some numerical invariants in …

The preprojective and the preinjective partitions for an artin algebra A were defined by M.
Auslander and S. Smal@[? I. Let A be an artin algebra, let mod A be the category of finitely …

If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …

ARTIN ALGEBRAS WHICH ARE EQUIVALENT TO A HEREDITARY ALGEBRA MODULO
PREPROJECTIVES A. Merklen M. Auslander and I. Reiten studied Page 1 ARTIN ALGEBRAS …

O. Introduction Tame hereditary Artin algebras have a lot of nice homological properties: For
instance, the categories P, Rand 1 consisting of all preprojective, regular and preinjective …

In this paper we find the indecomposable pure injective modules over the algebras
described in the title. For undefined terms we refer to [3] and [i]. In the latter reference many …

An artin algebra A is said to be equivalent to an algebra A'modulo preprojectives up to the
level n if the categories mod A/add pn (A) and mod A1/add~(A'I are equivalent, Necessary …

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 …

If A is an artin algebra, the Auslander-Reiten quiver of A, denoted by F= F (A), is defined in
the following way: the vertices of F (A) are the isomorphism classes [M] of indecomposable …