Quasi-Hereditary Orderings of $A_n$-Type Algebras with Two Generators
Received:July 13, 2006  Revised:January 17, 2007
Key Words: $A_n$-type algebras   quasi-hereditary algebras   quasi-hereditary orderings.  
Fund Project:the National Natural Science Foundation of China (No.10601036).
Author NameAffiliation
ZHANG Yue Hui Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China 
WU Liu San Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China 
GAO Chun Yan Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China 
Hits: 7204
Download times: 1894
Abstract:
      This short note is devoted to an approach of the quasi-hereditary orderings of $A_n$-type algebras with exactly two generators. A necessary and sufficient condition for a quasi-hereditary ordering is obtained. Moreover, the numbers of quasi-hereditary orderings of such algebras are explicitly given.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.030
View Full Text  View/Add Comment