| 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.
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| Fund Project:the National Natural Science Foundation of China (No.10601036). |
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| 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 |
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