Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations

Justyna Kosakowska. "Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations." Colloquium Mathematicae 93.2 (2002): 155-208. <http://eudml.org/doc/285041>.

@article{JustynaKosakowska2002,
abstract = {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.},
author = {Justyna Kosakowska},
journal = {Colloquium Mathematicae},
keywords = {sincere posets; finite prinjective type; finite connected posets; incidence algebras; sincere prinjective representations; prinjective modules; algorithms; Tits forms; tilted algebras},
language = {eng},
number = {2},
pages = {155-208},
title = {Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations},
url = {http://eudml.org/doc/285041},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Justyna Kosakowska
TI - Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 155
EP - 208
AB - 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.
LA - eng
KW - sincere posets; finite prinjective type; finite connected posets; incidence algebras; sincere prinjective representations; prinjective modules; algorithms; Tits forms; tilted algebras
UR - http://eudml.org/doc/285041
ER -