… Here we show that the Auslander–Reiten component of \(\mathrm {mod}_\mathrm{{sp}}(\…
\)-module is a preprojective component. To do so, we describe an Auslander–Reiten component …

… τ-tilting theory, g-vectors, and AuslanderReiten theory. We provide explicit constructions of
… indecomposable module M is preprojective if there is an indecomposable projective module …

… Auslander-Reiten duality, ie there exist an equivalence functor τG : Gprj-Λ → Gprj-Λ such that
for any Gorenstein projective modules G … Kleinian singularities and preprojective algebras, …

… In this section we will set up some notation about bimodules and graded algebras and
modules. Gradings will play a central role throughout this thesis, since higher preprojective …

… determinantal modules over a preprojective algebra using the Auslander–Reiten translation
… group of a sort of so-called determinantal modules, which is an analog of quantum minors in …

… Our main purpose in this paper is to study the Auslander–Reiten … with modules category over
some Artin algebras. The … ) ) and the module category mod ⁢ - ⁢ Π n - 1 of the preprojective …

… of the Auslander-Reiten quiver of type CDn. Future work will extend the formula to the
entire module category (not just the preprojective modules) over path algebras of type CDn. …

… Auslander–Smalø introduced, in [3], the notion of … and modules (under the name of
preprojective). The connection between such a partition and the structure of the Auslander–Reiten …

… , and observed that then Γ _ is isomorphic to the preprojective algebra Π N − 1 of type A
N − … modules, when we consider the Gabriel quiver of Γ as the opposite of the Auslander–Reiten …

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