论文标题
图形逆半群及其子结构
Graph inverse semigroups and their substructures
论文作者
论文摘要
在本文中，我们讨论了从有向图构成的图形逆半群，并研究了图形逆半群的几种有趣属性，例如其diadempotents的性质，同性基因的半武器的结构等。有针对性图的必要且充分的条件使相应的图形逆半群是原始的逆向半群。此外，还描述了图形逆半群的局部亚momoi中元素的一般形式以及图中图逆半群中的绿色S关系。
In this paper we discuss graph inverse semigroups which are constucted from a directed graphs and study several interesting properties of graph inverse semigroups such as the nature of its idempotents, the structure of semilattice of idempotents and the like. A necessary and sufficient condition on directed graphs to have the corresponding graph inverse semigroups are primitive inverse semigroups is provided. Further the general form of elements in local submonoids of the graph inverse semigroups and the Green s relations in graph inverse semigroups in graph theoretic terms are also described
