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/