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幂格与商格的关系的注记
引用本文:黎爱平.幂格与商格的关系的注记[J].模糊系统与数学,2009,23(1).
作者姓名:黎爱平
作者单位:上饶师范学院,数学计算机系,江西,上饶,334001
摘    要:研究了分配格上的幂格,给出了格的相对凸子格的概念,得到了分配格上的幂格的一个充要条件,建立了幂格与商格的联系.

关 键 词:  幂格  相对凸子格  商格

A Note Relation between Power Lattice and Quotient Lattice
LI Ai-ping.A Note Relation between Power Lattice and Quotient Lattice[J].Fuzzy Systems and Mathematics,2009,23(1).
Authors:LI Ai-ping
Institution:Department of Mathematics and Computer;Shangrao Normal College;Shangrao 334001;China
Abstract:In this paper,we study power lattice on distributive lattices,the concept of relative convex sublattices is given,a sufficient and necessary condition of power lattice on distributive lattices is obtained,relation between Quotient lattice and power lattice is established.
Keywords:Lattice  Power Lattice  Relative Convex Sublattic  Quotient Lattice  
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