Some Characterizations of Strongly Semisimple Ordered Semigroups  

作　　者：Tang Jian Xie Xiang-yun Du Xian-kun 

机构地区：[1]School of Mathematics and Computational Science, Fuyang Normal College [2]School of Mathematics and Computational Science, Wuyi University

出　　处：《Communications in Mathematical Research》2013年第2期155-166,共12页数学研究通讯（英文版）

基　　金：The NSF (10961014) of China;the NSF (S2011010003681) of Guangdong Province;the Science and Technology Projects (2010B010600039) of Guangdong Province;the Excellent Youth Talent Foundation (2012SQRL115ZD) of Anhui Province;the University Natural Science Project (KJ2012B133) of Anhui Province;the NSF (2007LZ01) of Fuyang Normal College

摘　　要：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.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.

关 键 词：ordered semigroup ordered fuzzy point quasi-prime fuzzy left ideal strongly semisimple ordered semigroup 

分 类 号：O152.7[理学—数学]