AR-components for generalized Beilinson algebras

الأصل · EN

We show that the generalized W-modules defined in a foregoing paper determine ZA∞- components in the Auslander-Reiten quiver Γ(n,r) of the generalized Beilinson algebra B(n,r), n ≥ 3. These components entirely consist of modules with the constant Jordan type property. We arrive at this result by interpreting B(n,r) as an iterated one-point extension of the r-Kronecker algebra Kᵣ which enables us to generalize findings concerning the Auslander-Reiten quiver Γ(Kᵣ) presented in earlier work to B(n,r).