完全分配格

The interrelationship between several basic categories in fuzzy topology is made clear in terms of co-tower extension of topological constructs. It is shown that for ever completely distributive lattice L,the the category of L-fuzzifying topological spaces is isomorphic to the cotower extension of the category of topological spaces, and it can be embbedded in the category of L-topological spaces as a simultaneously reflective and coreflective subcategory.

用拓扑范畴的co-tower扩张的概念厘清了不分明拓扑中若干基本范畴之间的关系，证明了对任意完全分配格L， L-模糊化拓扑空间范畴同构于拓扑空间范畴的co-tower扩张，并且可作为一同时反射余反射子范畴嵌入L-拓扑空间范畴中。

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。

Ringrose began to study nest algebras in the 1960s, many people have devoted themselves to the study of non-selfadjoint and reflexive operator algebras including nest algebras, commutative subspace lattice algebras, completely distributive subspace lattice algebras and so on, and obtain a lot of beautiful achievements.

自从60年代J.Ringrose开始研究套代数以来，人们对套代数、交换子空间格代数和完全分配子空间格代数等非自伴自反算子代数进行了深入研究，并且取得了大量出色的研究成果。

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。

Subalgebra and homomorphism of completely distributive lattices and meet continuous lattices.

介绍了完全分配格、交连续格的商集、子代数、同态的概念。

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％。