| Prime Space of Lattice Implication Algebras |
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| 作者姓名： | 宋振明 郭天榜 |
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| 作者单位： | Song Zhenming (Department of Applied Mathematics，Southwest Jiaotong Universidy，Chengdu，610031) Guo Tianbang (Department of Mathematics，Henan University，Kaifeng，475001) |
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| 摘 要： | 1.IntroductionPeoplehavepaidmoreattentiontolathcevaluedlogicsystem,whichwillbecomemuchbetterlogicalsystemforintelligentcomputer.InreferenceL1JXuYangpresentanalgebrastructure-latticeimplicationalgebrabycomblngthelatticewithimplicationalgebraastruevaluefieldoflatticevaluedlogicaIsystem.Afterthat,westudytheimplicationhomomor-phism,congruencerelationsandalgebraicstructureoflatticeimplicationalgebraanddiscussthefirstorderlogicalsystemFMbasedonlatticeimplicationalgebras,andobtainedseveralimpor-ta…
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| 关 键 词： | 格蕴涵代数 素空间 素蕴涵滤子 |
Prime Space of Lattice Implication Algebras |
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| Song Zhenming.Prime Space of Lattice Implication Algebras[J].Chinese Quarterly Journal of Mathematics,1997,12(4):46-50. |
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| Authors: | Song Zhenming |
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| Institution: | [1]Department [2]of |
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| Abstract: | In this paper,after discussing the prime implication filter of lattice implication algebra,we introduced the concept of prime space of lattice implication algebra,in which we analysised its topological property and discussed the relation between the category of topological space and the category of lattice implication algebras. |
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| Keywords: | lattice implication algebra prime implication filter topological space prime space category |
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