[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 …

Components of Auslander-Reiten quivers with only preprojective modules

FU Coelho - Journal of Algebra, 1993 - Elsevier
with Only Preprojective Modules Page 1 JOURNAL OF ALGEBRA 157, 472–488 (1993)
Components of Auslander–Reiten Ouivers with Only Preprojective Modules FLÁVIO ULHOA …

[PDF][PDF] A characterization of finite Auslander—Reiten quivers

K Igusa, G Todorov - Journal of Algebra, 1984 - academia.edu
Let II be an indecomposable artin algebra of finite representation type, R the center of A, k=
R/rad R. Let r,, be the associated Auslander-Reiten quiver. Then r,, is finite k-modulated …

[PDF][PDF] Shapes of connected components of the Auslander-Reiten quivers of artin algebras

S Liu - … theory of algebras and related topics, 1996 - shipingliu.espaceweb.usherbrooke …
The aim of these notes is to report some new developments on the problem of describing all
possible shapes of the connected components of the Auslander-Reiten quiver ΓA of an artin …

On Auslander–Reiten components of algebras without external short paths

A Jaworska, P Malicki… - Journal of the London …, 2012 - Wiley Online Library
We describe the structure of semi‐regular Auslander–Reiten components of artin algebras
without external short paths in the module category. As an application, we give a complete …

[PDF][PDF] Auslander-Reiten components determined by their composition factors

A Jaworska, P Malicki… - Proceedings of the …, 2012 - community.ams.org
AUSLANDER-REITEN COMPONENTS DETERMINED BY THEIR COMPOSITION FACTORS
1. Introduction and main results Let A be an Artin algebra o Page 1 PROCEEDINGS OF THE …

Generalized Auslander-Reiten conjecture and derived equivalences

S Pan - Communications in Algebra, 2013 - Taylor & Francis
Full article: Generalized Auslander-Reiten Conjecture and Derived Equivalences Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

[HTML][HTML] The structure and homological properties of generalized standard Auslander–Reiten components

P Malicki, A Skowroński - Journal of Algebra, 2019 - Elsevier
We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …

Preprojective modules and Auslander-Reiten components

S Liu - Communications in Algebra, 2003 - Taylor & Francis
Abstract Auslander and Smalø (Auslander, M., Smalø, SO (1980). Preprojective modules
over artin algebras. J. Algebra 66: 61–122) introduced and studied extensively preprojective …

Regular Auslander-Reiten components containing directing modules

A Skowroński - Proceedings of the American Mathematical Society, 1994 - ams.org
REGULAR AUSLANDER-REITEN COMPONENTS CONTAINING DIRECTING MODULES
Page 1 proceedings of the american mathematical society Volume 120, Number 1, January …