Prinjective Ringel-Hall algebras for posets of finite prinjective type

Citation
Kosakowska, Justyna, Prinjective Ringel-Hall algebras for posets of finite prinjective type, Acta mathematica Sinica. English series (Print) , 25(7), 2009, pp. 1183-1190
ISSN journal
14398516
Volume
25
Issue
7
Year of publication
2009
Pages
1183 - 1190
Database
ACNP
SICI code
Abstract
In the present paper we investigate prinjective Ringel-Hall algebras, for prinjective modules over incidence algebras of posets of finite prinjective type. Results we obtain are analogous to these, given by C. M. Ringel, for representations of Dynkin quivers. In particular we give a description of prinjective Ringel-Hall algebras by generators and relations.