Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 155-208
MSC: 16G30, 16G50, 15A21, 15A63, 14L30
DOI: 10.4064/cm93-2-1
Abstract
Assume that $K$ is an~arbitrary field. Let $(I,\, \preceq )$ 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.
