树上的加法函数(英文)  

Additive functions on trees

作　　者：鲍炎红[1] 杜先能[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《中国科学技术大学学报》2010年第12期1245-1248,1255,共5页JUSTC

基　　金：Supported by the PhD Programs Foundation of Ministry of Education of China(200803570003);Anhui Provincial Natural Science Foundation Grant(10040606Y33);Scientific Research Foundation for the PhDs of Anhui University(33190055);Academic Innovation Team of Anhui University(KJTD001B);Project of Anhui Province of Excellent Young Talents in University(2009SQRZ017ZD)

摘　　要：研究了图上加法函数与遗传代数表示之间的关系,刻画了具有非零加法函数的树的结构.进一步讨论了一类遗传代数的余秩及其 Gabriel箭图底图之间的关系.A relation between the additive functions on graphs and the representation theory of hereditary algebras was established,and the structure of trees with non-zero additive functions was characterized.Furthermore,the relation between the radical of path algebras and the structure of its Gabriel quivers were constructed.As an application,the existence of path algebras with the arbitrary corank was constructed.

关 键 词：遗传代数 加法函数 CARTAN矩阵 余秩 

分 类 号：O157.6[理学—数学]