|
|||||
|
|
| 双生成元$A_n$型拟遗传代数的拟遗传序 | |
| 引用本文： | 张跃辉,吴六三,高春燕. 双生成元$A_n$型拟遗传代数的拟遗传序[J]. 数学研究及应用, 2008, 28(4): 975-980 |
| 作者姓名： | 张跃辉 吴六三 高春燕 |
| 作者单位： | 天津工程师范学院数学研究所, 天津 300222;天津工程师范学院数学研究所, 天津 300222;天津工程师范学院数学研究所, 天津 300222 |
| 基金项目： | 国家自然科学基金(No.10601036). |
| 摘 要： | 本文讨论双生成元$A_n$型代数的拟遗传序的性质,给出了该类代数的单模序是拟遗传序的充分必要条件,并利用组合技巧得出了该类代数拟遗传序的数目. |
| 关 键 词： | $A_n$型代数 拟遗传代数 拟遗传序. |
| 收稿时间： | 2006-07-13 |
| 修稿时间： | 2007-01-17 |
Quasi-Hereditary Orderings of $A_n$-Type Algebras with Two Generators |
|
| ZHANG Yue Hui,WU Liu San and GAO Chun Yan. Quasi-Hereditary Orderings of $A_n$-Type Algebras with Two Generators[J]. Journal of Mathematical Research with Applications, 2008, 28(4): 975-980 | |
| Authors: | ZHANG Yue Hui WU Liu San GAO Chun Yan |
| Affiliation: | Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China;Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China;Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China |
| 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. |
| Keywords: | $A_n$-type algebras quasi-hereditary algebras quasi-hereditary orderings. |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 | |
| 点击此处可从《数学研究及应用》下载全文 | |