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

Colloquium Mathematicae (2001)

- Volume: 87, Issue: 1, page 7-77
- ISSN: 0010-1354

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topJustyna 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 -

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