We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-4,
author = {Gena Puninski},
title = {Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {185-211},
zbl = {1285.16015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-4}
}
Gena Puninski. Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras. Colloquium Mathematicae, Tome 126 (2012) pp. 185-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-2-4/