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{bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-7,
author = {Alicja Jaworska-Pastuszak and Andrzej Skowro\'nski},
title = {On domestic algebras of semiregular type},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {271-294},
zbl = {1330.16011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-7}
}
Alicja Jaworska-Pastuszak; Andrzej Skowroński. On domestic algebras of semiregular type. Colloquium Mathematicae, Tome 131 (2013) pp. 271-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-7/