广义Brandt半群的Cayley图

On Cayley graphs of generalized Brandt semigroups

研究广义Brandt半群上的以Green等价类为连接集的Cayley图,通过对连接集为L-类,R-类和H-类等3类Green等价类的Cayley图间的同构条件的的讨论,分别刻画了这3类Cayley图的结构,揭示了广义Brandt半群是一个完全0-单的纯正半群的本质特征.

The Cayley graphs of generalized Brandt semigroups whose connection sets are Green equivalence classes are investigated.The structures of the Cayley graphs of generalized Brandt semigroups with the Green equivalent classes(L-class,R-class and H-class)as the connection sets are depicted,and the essential characteristic of generalized Brandt semigroup is exactly a complete 0-simple orthodox semigroup is revealed,by studying respectively isomorphic conditions between these Cayley graphs.