分配格

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下：本文的第一章在剩余格中引入了Fuzzy滤子的概念，得到了它的一些特征性质；给出了Fuzzy滤子的结构，证明了剩余格中的Fuzzy滤子之集构成完备的分配格；利用Fuzzy滤子的特有结构，在剩余格中定义了Fuzzy滤子间的两个运算""，""

This paper gives the definitions and some fundamental theorems on the completion and continuous mapping in the topological ∧ weak complete distributive lattice.

本文在作者的∧弱完全分配格的可备并同态扩张定理的基础上，给出了拓扑∧完全分配格的完备化与连续映象的定义与若干基本定理。

It is proved that a complete lattice is completely distributive lattice if and only if it is both semi-Smooth lattice and semi-continuous lattice.

证明了完备格L是半Smooth格和半连续格当且仅当L是完全分配格。

Whereas, what worth to say is thatthe representation theorem in most of literatures is obtained by strengthen thecondition of the membership degree's lattice. Such as it needs the membershipdegree's lattice was dense complete lattice, completely distribute lattice or unitinterval, ect.

但是，值得指出的是，多数文献中的表现定理是对模糊集的值格加强限制条件下得到的，例如有些文献要求值格为稠密完备格、完全分配格或者实单位区间等等。

In Chapter 4, a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference [16]. Moreover, the result that the congruence is the least distributive lattice congruence is proved.

第四章，借助于文献[16]中同余的形式，定义了交换分配半环上的一个同余，并且证明了该同余是最小分配格同余。

Birkhoff, every finite distributive lattice is isomorphic to the lattice of all filters of a finite partially ordered set.

由G.Birkhoff的一个基本定理，每个有限分配格同构于一个有限偏序集所有滤子的格。

In this paper, the mutual relations of these additional conditions are investigated systematically and clarified. It is proved that each one of these conditions implies distributivity. Furthermore, the mutual relations of normal residuated lattices, subnormal residuated lattices, BL-algebras and sub-BL-algebras and that they are all distributive lattice are known.

本文系统研究并弄清了这些附加条件相互之间的关系，证明了它们中的每一条都蕴涵着分配性，从而知道了正规剩余格、次正规剩余格、BL-代数、次BL代数相互之间的关系，并且它们都是分配格。

A finite distributive lattice is called a matchable distributive lattice if and only if there exists a plane weakly elementary bipartite graph such that.

一个有限分配格L称为匹配分配格当且仅当存在一个平面弱基本二部图G使得ML。

We have established some properties of languages of Lattice of Quantum Automata. For example, the definitions of Right-Linear Grammars of Lattice of Quantum, Regular Sets of Lattice of Quantum and Regular Expressions of Lattice of Quantum have been given.

我们证明了量子自动机格有一些重要的性质：它是分配格当且仅当自动机的基格是分配的；它是模格当且仅当自动机的基格是模格；它是完全格当且仅当自动机的基格是完全格。

In third part, I discussed R0 algebra in two different aspect:(1) Defined Boole element in R0 algebra. Gave the properties of Boole element and distributive rules of Boole element about finite R0 algebra. Study the filter and the stone filter of L are filters of M.

元的分布规律：研究了民代数M的滤子和民代数M作为有界分配格（记这个有界分配格为L（MO 的滤子之间的关系，得出结论：L的极小素滤子以及 L的 Stone滤子都是 M的滤子，但 L的滤子一般不必是M的滤子。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。