… 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 …

… 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 …

… 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. …

… 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 …

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

… representations of Q is equivalent to the module category of kQ. The study … modules categories
have been extensively investigated. Auslander-Reiten theory which provides the module …

… Λ-modules. In this paper, we study the components of the stable Auslander-Reiten quiver of
a … As a generalization of the boundary modules [38, (5.1)], we define the notion of boundary …

… Let ν A = D Hom ( − , A ) denote the Nakayama functor, τ A the Auslander-Reiten translation
and Ω A the szyzgy. We … The modules A e i are the indecomposable projective A-modules. …

… injective Λ-module. Here τ d is the higher dimensional analogue of the Auslander-Reiten
translation τ. When l P = l for all indecomposable projective Λ-modules P we say that Λ is l-…