广义Brandt半群的Cayley图  

On Cayley graphs of generalized Brandt semigroups

作　　者：李映辉 王守峰[2] LI Ying-hui;WANG Shou-feng(School of Teacher Education,Kunming University,Kunming 650204,Yunnan,China;School of Mathematics,Yunnan Normal University,Kunming 650500,Yunnan,China)

机构地区：[1]昆明学院教师教育学院,云南昆明650204 [2]云南师范大学数学学院,云南昆明650500

出　　处：《云南大学学报（自然科学版）》2021年第1期17-22,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11661082);云南省教育厅科学研究基金(2019J0559).

摘　　要：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.

关 键 词：CAYLEY图 广义Brandt半群 Green等价类 

分 类 号：O152.7[理学—基础数学]