In [2] Auslander and Smala introduced their preprojective theory for artin algebras. A
remaining problem is to find algorithms which enable us to describe in general the …

In this paper we want to give a brief and informal introduction of the notion of a preprojective
partition of ind A, the set of isomorphism classes of finitely generated indecomposable …

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 …

Let A be an artin algebra, let mod A be the category of finitely generated left A-modules and
let ind A be a full subcategory of mod A of chosen representatives of the indecomposable A …

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 …

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 …

If $\Lambda $ is an artin algebra and $\Lambda $ is the set of isomorphism classes of
indecomposable finitely generated $\Lambda $-modules, then there is a partition …

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 …

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 …

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