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关于点格的若干讨论
引用本文:苏刚,蒋善翠.关于点格的若干讨论[J].苏州大学学报(医学版),1993,9(3):204-206.
作者姓名:苏刚  蒋善翠
作者单位:彭城大学,徐州电视大学,徐州师范学院
摘    要:

关 键 词:拓扑  点格  完全分配格

SOME DISCUSSION ON POINT LATTICES
Su Gang.SOME DISCUSSION ON POINT LATTICES[J].Journal of Suzhou University(Natural Science),1993,9(3):204-206.
Authors:Su Gang
Institution:Su Gang(Pengcheng Cniversity) Jiang Shancui(Xuzhou Broadcast University) Shi Guoqi(Xuzhou Broadcast University)
Abstract:In this paper, the concept of fully prime elements is introduced, and the sufficient and neccessary condition for a fully distributive lattice to be a point lattice is obtained in the sense of topology. We prove that a fully distributive lattice L is a point lattice if and only if L is an algebraic lattice and L~(op) is a Heyting algebra.
Keywords:topology  point lat rice  fully distributive lattice  Heyting algebra  
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