We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander–Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander–Reiten quiver consists of semiregular components.
@article{10_4064_cm132_2_7,
author = {Alicja Jaworska-Pastuszak and Andrzej Skowro\'nski},
title = {On domestic algebras of semiregular type},
journal = {Colloquium Mathematicum},
pages = {271--294},
year = {2013},
volume = {132},
number = {2},
doi = {10.4064/cm132-2-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm132-2-7/}
}
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AU - Alicja Jaworska-Pastuszak
AU - Andrzej Skowroński
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Alicja Jaworska-Pastuszak; Andrzej Skowroński. On domestic algebras of semiregular type. Colloquium Mathematicum, Tome 132 (2013) no. 2, pp. 271-294. doi: 10.4064/cm132-2-7