TY - JOUR T1 - Some Characterizations of Strongly Semisimple Ordered Semigroups AU - Tang , Jian AU - Xie , Xiangyun JO - Communications in Mathematical Research VL - 2 SP - 155 EP - 166 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19019.html KW - ordered semigroup, ordered fuzzy point, quasi-prime fuzzy left ideal, strongly semisimple ordered semigroup. AB -
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.