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Domestic iterated one-point extensions of algebras by two-ray modules
Authors:Grzegorz Bobiński  Andrzej Skowroński
Institution:(1) Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Abstract:In the paper, we introduce a wide class of domestic finite dimensional algebras over an algebraically closed field which are obtained from the hereditary algebras of Euclidean type MediaObjects/11533_2006_BF02475179_f1.jpg, n≥1, by iterated one-point extensions by two-ray modules. We prove that these algebras are domestic and their Auslander-Reiten quivers admit infinitely many nonperiodic connected components with infinitely many orbits with respect to the action of the Auslander-Reiten translation. Moreover, we exhibit a wide class of almost sincere domestic simply connected algebras of large global dimensions.
Keywords:domestic algebra                      simply connected algebra                      Auslander-Reiten quiver                      vector space category
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