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

MODULES DETERMINED BY THEIR TOPS AND SOCLES Page 1 proceedings of the
american mathematical society Volume %. Number 1. lanuary 19H6 MODULES DETERMINED …

Let A be an artin algebra. We denote by A-mod the category of finitely generated left A-
modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten operator …

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 …

Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad"(mod
A) the infinite radical of mod A and IT, the Auslander–Reiten quiver of A. Following [32] an …

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 …

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 …

We prove that the component quiver ΣA of a connected self-injective artin algebra A of
infinite representation type is fully cyclic, that is, every finite set of components of the …

REGULAR AUSLANDER-REITEN COMPONENTS CONTAINING DIRECTING MODULES
Page 1 proceedings of the american mathematical society Volume 120, Number 1, January …

Let A be an artin algebra and mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …