A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations

Justyna Kosakowska. "A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations." Colloquium Mathematicae 87.1 (2001): 7-77. <http://eudml.org/doc/286541>.

@article{JustynaKosakowska2001,
abstract = {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.},
author = {Justyna Kosakowska},
journal = {Colloquium Mathematicae},
keywords = {representations of posets; prinjective modules; Tits quadratic forms; sincere posets; finite representation type},
language = {eng},
number = {1},
pages = {7-77},
title = {A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations},
url = {http://eudml.org/doc/286541},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Justyna Kosakowska
TI - A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 7
EP - 77
AB - 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.
LA - eng
KW - representations of posets; prinjective modules; Tits quadratic forms; sincere posets; finite representation type
UR - http://eudml.org/doc/286541
ER -