Authors
Muhammad Shabir, Asghar Khan
Publication date
2011
Journal
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Volume
34
Issue
1
Pages
87-102
Publisher
Malaysian Mathematical Sciences Society, Bangi
Description
In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals. We define semiprime fuzzy quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime fuzzy quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having the property a≤ a2 for all a∈ S, by means of fuzzy quasi-ideals.
Total citations
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Scholar articles
M Shabir, A Khan - Bulletin of the Malaysian Mathematical Sciences …, 2011
A Khan, YB Jun, M Shabir - Quasigroups and Related Systems, 2009