Geodesic
A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations
Justyna Kosakowska 1
1 Faculty of Mathematics and Informatics Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 7-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Assume that $K$ is an arbitrary field. Let $(I, \preceq )$ 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.
DOI : 10.4064/cm87-1-3
Keywords: assume nbsp arbitrary field preceq two peak poset finite prinjective type nbsp incidence algebra study sincere posets sincere prinjective modules nbsp complete set sincere two peak posets finite prinjective type given theorem moreover each poset nbsp complete set representatives isomorphism classes sincere indecomposable prinjective modules presented tables

Justyna Kosakowska  1

1 Faculty of Mathematics and Informatics Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Justyna Kosakowska. A classification of two-peak sincere posets of finite prinjective type
 and their sincere prinjective representations. Colloquium Mathematicum, Tome 87 (2001) no. 1, pp. 7-77. doi: 10.4064/cm87-1-3

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