Domestic iterated one-point extensions of algebras by two-ray modules |
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Authors: | Grzegorz Bobiński Andrzej Skowroński |
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Institution: | (1) Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland |
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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
, 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. |
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Keywords: | domestic algebra simply connected algebra Auslander-Reiten quiver vector space category |
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