… , preprojective A-lattices and the Auslander-Reiten quiver of h . In particular, we prove the
following Theorem: If S is a simple h-module … subquiver of the Auslander-Reiten quiver of h [?] . …

… between higher dimensional AuslanderReiten theory and graded coherentness of higher
preprojective algebras. … For a general L-module M, we don’t know that ηM,s become an …

… If there are up to isomorphism unique almost split sequences in χ ending in every indecomposable
non-projective module in χ, then we clearly also have an Auslander-Reiten quiver for …

… of its Auslander-Reiten quiver [26]. More generally in any preprojective or preinjective
Auslander-Reiten components, modules … Furthermore modules in a quasi-serial Auslander-Reiten …

… algebraically compact modules which are related to tubes in the Auslander-Reiten quiver of
… of finite length which are neither in the preprojective nor in the preinjective component is an …

… the translation on the Auslander-Reiten quiver. The simple … (X)"P where X is a preprojective
tilting module over a tame … modules, equivalent to the subcategory of regular H-modules. …

… be used to visualise also modules and morphisms between modules. Throughout this section
… Note that some authors refer to postprojective components as preprojective components. …

… The preprojective partition has been defined for arbitrary Artin algebras by Auslander and
… of finitely generated indecomposable Amodules is finite, the preprojective partition can be …

… the stable module category of the ( n + 1 ) -preprojective algebra is ( n + 1 ) -Calabi–Yau,
and, more precisely, it is the ( n + 1 ) -Amiot cluster category of the stable n -Auslander algebra …

… left A-modules, by Ta the Auslander-Reiten quiver of A and by DTr the Auslander-Reiten
operator. … have played an important role in the representation theory of algebras: preprojective …