Geodesic
Hereditary stable tubes in module categories
Algebra and discrete mathematics, no. 3 (2007), pp. 132-158

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The concepts of a self-hereditary stable tube $\mathcal T$ and a hereditary stable tube $\mathcal T$ in a module category $\mod\,A$ are introduced, where $A$ is a finite dimensional algebra over an algebraically closed field. Characterisations of self-hereditary stable tubes and hereditary stable tubes are given, and illustrative examples of such tubes are presented. Some open problems are presented.
Keywords: tilted algebras, concealed algebras, Auslander–Reiten quiver.
Mots-clés : stable tubes 
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     title = {Hereditary stable tubes in module categories},
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Daniel Simson; Andrzej Skowronski. Hereditary stable tubes in module categories. Algebra and discrete mathematics, no. 3 (2007), pp. 132-158. http://geodesic.mathdoc.fr/item/ADM_2007_3_a12/