Assume that K is an arbitrary field. Let (I, ⪯) be a two-peak poset of finite prinjective type and let KI be the incidence algebra of I. We study sincere posets I and sincere prinjective modules over KI. The complete set of all sincere two-peak posets of finite prinjective type is given in Theorem 3.1. Moreover, for each such poset I, a complete set of representatives of isomorphism classes of sincere indecomposable prinjective modules over KI is presented in Tables 8.1.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-1-3,
author = {Justyna Kosakowska},
title = {A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {7-77},
zbl = {0968.16004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-1-3}
}
Justyna Kosakowska. A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations. Colloquium Mathematicae, Tome 89 (2001) pp. 7-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm87-1-3/