Assume that K is an arbitrary field. Let (I,⪯) be a poset of finite prinjective type and let KI be the incidence K-algebra of I. A classification of all sincere posets of finite prinjective type with three maximal elements is given in Theorem 2.1. A complete list of such posets consisting of 90 diagrams is presented in Tables 2.2. Moreover, given any sincere poset I of finite prinjective type with three maximal elements, a complete set of pairwise non-isomorphic sincere indecomposable prinjective modules over KI is presented in Tables 8.1. The list consists of 723 modules.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-1,
author = {Justyna Kosakowska},
title = {Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {155-208},
zbl = {1020.16012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-1}
}
Justyna Kosakowska. Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations. Colloquium Mathematicae, Tome 91 (2002) pp. 155-208. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm93-2-1/