左群的强半格的Cayley图  

Cayley Graphs of Strong Semilattices of Left Groups

作　　者：王维忠[1] 侯海龙[2] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070 [2]河南科技大学理学院,河南洛阳471003

出　　处：《武汉大学学报（理学版）》2009年第6期633-636,共4页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金(10571077);甘肃省自然科学基金(3ZS052-A25-017)资助项目

摘　　要：研究了左群的强半格的Cayley图的结构和性质,给出了一个有向图是左群强半格的Cayley图的充分条件.若限制左群是群,则可以得到Clifford半群的Cayley图的相应结果,从而推广了关于此类半群的Cayley图的一些主要结论.In this paper, we chiefly study Cayley graphs of strong semilattices of left groups and obtain some results for structures and properties of this graphs. Meanwhile, a sufficient condition is established for which a digraph with certain properties is the Cayley graphs of strong semilattices of left groups. Fur- thermore, we can get the corresponding results for Cayley graphs of Clifford semigroups if left groups are restricted to groups. Therefore, the conclusions in the paper extend some main theorems about the Cayley graphs of Clifford semigroups.

关 键 词：半群 左群 左群的强半格 CAYLEY图 

分 类 号：O157[理学—数学]