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- W2030428032 abstract "Abstract Let A be a basic connected finite dimensional algebra over an algebraically closed field. We show that if Γ is an infinite connected component of the Auslander-Reiten quiver ΓA of A in which each ΓA-orbit contains only finitely many vertices, then the number of indecomposable direct summands of the middle term of any mesh, whose starting vertex belongs to the infinite stable part of Γ, is less than or equal to 3. Moreover, if the nonstable vertices belong to τA-orbits of exceptional projectives in Γ, then Γ can be obtained from a stable tube by a finite number of multiple coray-ray insertions of type α∗γ and multiple coray-ray insertions of type α∗γ." @default.
- W2030428032 created "2016-06-24" @default.
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- W2030428032 date "2002-01-01" @default.
- W2030428032 modified "2023-09-24" @default.
- W2030428032 title "Infinite Components of An Auslander-Reiten Quiver with Finite DTr-Orbits" @default.
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- W2030428032 doi "https://doi.org/10.1080/00927870209342386" @default.
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