Year: 2013
Author: Jian Tang, Xiangyun Xie
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19019
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 155–166
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: ordered semigroup ordered fuzzy point quasi-prime fuzzy left ideal strongly semisimple ordered semigroup.