@Article{CMR-29-155, author = {Tang , Jian and Xie , Xiangyun}, title = {Some Characterizations of Strongly Semisimple Ordered Semigroups}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {2}, pages = {155--166}, abstract = {

In this paper, the concept of quasi-prime fuzzy left ideals of an ordered semigroup $S$ is introduced. Some characterizations of strongly semisimple ordered semigroups are given by quasi-prime fuzzy left ideals of $S$. In particular, we prove that $S$ is strongly semisimple if and only if each fuzzy left ideal of $S$ is the intersection of all quasi-prime fuzzy left ideals of $S$ containing it.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19019.html} }