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.
作者
罗永乐
王正攀
LUO Yong-le;WANG Zheng-pan(School of Mathematic and Statistics,Southwest University,Chongqing 400715,China)
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
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)。
关键词
图逆半群
同余
0-受限同余
分配格
graph inverse semigroup
congruence
0-restricted congruence
distributive lattice