The preprojective partition for hereditary Artin algebras

D Zacharia - Transactions of the American Mathematical Society, 1982 - ams.org
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 …

A generalization of Todorov's theorem on preprojective partitions

FU Coelho - Communications in Algebra, 1990 - Taylor & Francis
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 …

A numerical characterization of finite Auslander-Reiten quivers

K Igusa, G Todorov - Representation Theory I Finite Dimensional Algebras …, 2006 - Springer
Let r be a finite nonempty modulated translation qpiver (as defined in [IT2]). Then we show
that r is the Auslander-Reiten quiver of an artin algebra of finite representation type if and …

Preprojective partitions for trivial extensions of hereditary algebras

B Rohnes - Communications in algebra, 1983 - Taylor & Francis
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 …

Artin algebras which are equivalent to a hereditary algebra modulo preprojectives

HA Merklen - Representation Theory I Finite Dimensional Algebras …, 2006 - Springer
ARTIN ALGEBRAS WHICH ARE EQUIVALENT TO A HEREDITARY ALGEBRA MODULO
PREPROJECTIVES A. Merklen M. Auslander and I. Reiten studied Page 1 ARTIN ALGEBRAS …

[PDF][PDF] Relações entre graus de morfismos irredutíveis e partição pós-projetiva

DD da Silva - 2013 - scholar.archive.org
Relações entre graus de morfismos irredutíveis e partição pós-projetiva Danilo Dias da Silva
Tese apresentada ao Instituto Page 1 Relações entre graus de morfismos irredutíveis e …

Preprojective partitions and the determinant of the Hom matrix

K Igusa, G Todorov - Proceedings of the American Mathematical Society, 1985 - ams.org
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 …

[图书][B] The Preprojective partition and Poincare-Betti series for finite dimensional algebras

GV Wilson - 1982 - search.proquest.com
have been used, the quality is heavily dependent upon the quality of the material Page 1
INFORMATION TO USERS This was produced from a copy of a document sent to us for …

On the postprojective partitions and components of the Auslander-Reiten quivers

FU Coelho, DD da Silva - Communications in Algebra, 2016 - Taylor & Francis
Full article: On the Postprojective Partitions and Components of the Auslander-Reiten Quivers
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

[HTML][HTML] On the Auslander–Reiten quiver of a P1-hereditary artin algebra

LA Hügel, FU Coelho - Journal of Pure and Applied Algebra, 2000 - Elsevier
We investigate the Auslander–Reiten quiver of a P 1-hereditary artin algebra Λ by relating it
to the Auslander–Reiten quiver of a suitable tilted algebra. We then obtain that the …