摘要
In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups and characterize strongly regular ordered semigroups in terms of completely semiprime fuzzy quasi-ideals. Finally, we investigate the characterizations and decompositions of left and right simple ordered semigroups by means of fuzzy quasi-ideals.
In this paper, fuzzy quasi-ideals of ordered semigroups are characterized by the properties of their level subsets. Furthermore, we introduce the notion of completely semiprime fuzzy quasi-ideals of ordered semigroups and characterize strongly regular ordered semigroups in terms of completely semiprime fuzzy quasi-ideals. Finally, we investigate the characterizations and decompositions of left and right simple ordered semigroups by means of fuzzy quasi-ideals.
基金
Supported by the National Natural Science Foundation of China (Grant No. 10961014)
the Science and Technology Projects in Guangdong Province (Grant No. 2010B010600039)
the Guangdong Provincial Natural Science Foundation of China (Grant No. S2011010003681)
the Anhui Provincial Excellent Youth Talent Foundation (Grant No. 2012SQRL115ZD)
the University Natural Science Project of Anhui Province (Grant No. KJ2012B133)
the Fuyang Normal College Natural Science Foundation (Grant No. 2007LZ01)
