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.
@article{bwmeta1.element.doi-10_2478_BF02475179,
author = {Grzegorz Bobi\'nski and Andrzej Skowro\'nski},
title = {Domestic iterated one-point extensions of algebras by two-ray modules},
journal = {Open Mathematics},
volume = {1},
year = {2003},
pages = {457-476},
zbl = {1061.16021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475179}
}
Grzegorz Bobiński; Andrzej Skowroński. Domestic iterated one-point extensions of algebras by two-ray modules. Open Mathematics, Tome 1 (2003) pp. 457-476. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475179/
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