On graph inverse semigroups

被引：2
|
作者：
Meakin, John [1 ]
Wang, Zhengpan [2 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
SEMIGROUP FORUM | 2021年 / 102卷 / 01期
关键词：
Graph inverse semigroups; Directed covers; Directed immersions; Universal groups; Congruences;
D O I：
10.1007/s00233-020-10130-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relationship between the graph inverse semigroups of two graphs when there is a directed immersion between the graphs and we provide structural information about graph inverse semigroups of finite graphs that admit a directed cover onto a bouquet of circles. We provide a topological characterization of the universal groups of the local submonoids of a graph inverse semigroup. We also find necessary and sufficient conditions for a homomorphic image of a graph inverse semigroup to be another graph inverse semigroup.
引用
收藏
页码：217 / 234
页数：18
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