图逆半群的商半群上的Green关系  

Green's relations on quotient semigroups of graph inverse semigroups

作　　者：宋子博 王正攀[1] SONG Zi-bo;WANG Zheng-pan(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西北师范大学学报(自然科学版)》2025年第2期17-21,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12271442)。

摘　　要：由任意的有向图都可以构造图逆半群.描述了图逆半群的商半群上的Green关系,并刻画了图逆半群的商半群的极大子群.The graph inverse semigroup can be constructed from any directed graph.In this paper,the Green's relations on quotient semigroups of graph inverse semigroups are described,and the maximal subgroups of these quotient semigroups are also characterized.

关 键 词：图逆半群 商半群 Green关系 极大子群 

分 类 号：O152.2[理学—数学]