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《Journal of Yangzhou University(Natural Science Edition)》 2009-01
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Normal MP-filters and MP-ideals in FI-algebras

SHI Tao1,2,XU Luo-shan2*(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Sect of Basic Sci,Wuxin Tech & Prof Coll,Wuxi 214028,China)  
In this paper,further properties and characterizations of MP-filters of fuzzy implication algebras(in short,FI-algebras) are given.The notion of normal MP-filters in FI-algebras is introduced.Characterizations of MP-filters and normal MP-filters are estabilished.Relations of(normal) MP-filters and(normal) MP-ideals are obtained.It is proved that in a regular FI-algebra,a subset is a(normal) MP-filters iff its dual is a (normal) MP-ideal.A counterexample is constructed to show that MP-filters and MP-ideals needn't be dual in general.
【Fund】: 国家自然科学基金资助项目(10371106 60774073)
【CateGory Index】: O141.1
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