We prove that the multiplicity of a simple module as a composition factor in a composition series for a primitive band module over a domestic string algebra is at most two.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-10, author = {Gena Puninski}, title = {Band combinatorics of domestic string algebras}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {285-296}, zbl = {1125.16008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-10} }
Gena Puninski. Band combinatorics of domestic string algebras. Colloquium Mathematicae, Tome 107 (2007) pp. 285-296. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-10/