图逆半群上的0-受限同余格  

Lattice of 0-restricted congruences on graph inverse semigroups

作　　者：罗永乐 王正攀[1] LUO Yong-le;WANG Zheng-pan(School of Mathematic 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）》2020年第2期34-37,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11601440)。

摘　　要：基于一般图逆半群上同余的刻画,应用有向图的性质,证明了图逆半群上的0-受限同余所组成的集合关于包含关系形成一个分配格.Based on the description of congruences on graph inverse semigroups,it is proved that the set of 0-restricted congruences on a graph inverse semigroup forms a distributive lattice under inclusions of congruences by using properties of directed graphs.

关 键 词：图逆半群 同余 0-受限同余 分配格 

分 类 号：O152.7[理学—数学]