Con^c(L)是Boole格的特征

THE CHARACTERS OF Con c(L) WHICH IS A BOOLEAN LATTICE

定义了完备弱模和链可分的概念，并且证明如下结果：（１）设Ｌ是完备格且ｃｏｎｃ（Ｌ）＝ｃｏｎｃｄ（Ｌ），则ｃｏｎｃ（Ｌ）是Ｂｏｏｌｅ格当且仅当Ｌ是完备弱模的，并且θ∈ｃｏｎｃ（Ｌ），θ是链可分的．（２）设Ｌ是完备格，则ｃｏｎｃ（Ｌ）＝ｃｏｎｃｄ（Ｌ）且ｃｏｎｃ（Ｌ）是Ｂｏｏｌｅ格当且仅当Ｌ是完备弱模的且θ∈ｃｏｎｃ（Ｌ），θ是链可分的．

To begin with,we define two conceptions,completely weakly modular and chain separable.Furthermore,we prove the results as follows:(1) Let L be a complete lattice and con c(L)= con c d(L) ,then con c(L) is a Boolean lattice iff L is a completely weakly modular lattice and θ∈con c(L),θ is chain separable.(2) If L is a complete lattice,then con c(L)=con c d(L) and con c(L) is a Boolean lattice iff L is a completely weakly modular lattice and θ∈con c(L),θ is chain separable.