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A Note of Regularity on Completely Distributive Lattices
作者姓名:陈仪香
作者单位:Xuzhou Teachers Cooege,221009
摘    要:ANoteofRegularityonCompletelyDistributiveLattices¥ChenYixiang(XuzhouTeachersCooege,221009)Abstract:Inthisnote,theauthorgivess...


A Note of Regularity on Completely Distributive Lattices
Chen Yixiang.A Note of Regularity on Completely Distributive Lattices[J].Chinese Quarterly Journal of Mathematics,1994(1).
Authors:Chen Yixiang
Abstract:In this note, the author gives some characterizations of regularity and complete regularity of topological Molecular lattices, then shows that any regular and strong normal topological molecular lattice is completely regular; finally proves that every paracompact and regular topological molecular lattice is stronge normal, and further completely regular.
Keywords:completely distributive lattices  molecules  topological Molecular lattices  regularity  Paracompactnesses
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