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完备格上的超分子理论
引用本文:张立国,李辉.完备格上的超分子理论[J].辽宁大学学报(自然科学版),2001,28(3):196-198.
作者姓名:张立国  李辉
作者单位:1. 沈阳炮兵学院数学教研室,
2. 辽宁大学工商管理学院,
摘    要:研究定义在完备格上的“超分子”的有关性质,并讨论它和分子、强分子之间的关系,并在此基础上证明了在|L|=2^n时,SM(L)=M(L)。

关 键 词:完全分配格  极小集  超分子  格论  完备格
文章编号:1000-5846(2001)03-0196-03
修稿时间:2001年4月13日

The Ultramolecular Theory on Completely Distributive Lattices
ZHANG Liguo ,LI Hui .Mathematics Academy of Teaching and Research,College of Shenyang Artillery,Shenyang , .College of Business and Administration,Liaoning University,Shenyang.The Ultramolecular Theory on Completely Distributive Lattices[J].Journal of Liaoning University(Natural Sciences Edition),2001,28(3):196-198.
Authors:ZHANG Liguo  LI Hui Mathematics Academy of Teaching and Research  College of Shenyang Artillery  Shenyang  College of Business and Administration  Liaoning University  Shenyang
Institution:ZHANG Liguo 1,LI Hui 2 1.Mathematics Academy of Teaching and Research,College of Shenyang Artillery,Shenyang 110162, 2.College of Business and Administration,Liaoning University,Shenyang 110036
Abstract:This article studies the related nature of the ultramolecular theory, which is defined on the basis of completely distributive lattices. The article also discusseses the relation of the ultramolecalar theory to molecules and strong molelules, and further more, demonstrates that SM(L)=M(L), when |L|=2 n.
Keywords:completely distributive lattices  minimal set  ultramolecular  
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