一般Boole格的单点扩张Boole──最小扩张Boole格  

The Smallest Extension Boolean Lattice

作　　者：白瑞蒲[1] 

机构地区：[1]河北大学数学系

出　　处：《河北师范大学学报（自然科学版）》1994年第4期9-12,共4页Journal of Hebei Normal University：Natural Science

摘　　要：对一般Ｂｏｏｌｅ格Ｌ，利用其Ｓｔｏｎｅ空间的特征已讨论了Ｌ的单点扩张Ｂｏｏｌｅ格Ｅｐ（Ｌ）［１］。在其代数结构上并未给出Ｅｐ（Ｌ）与Ｌ之间的关系．现从代数结构上讨论一般Ｂｏｏｌｅ格的扩张，而且给出了一般Ｂｏｏｌｅ格的最小扩张Ｂｏｏｌｅ格．Using the characteristic of a generalized boolean space,has gived onepoint extension boolean Lattice Ep(L) of a generalized boolean lattice L[1]. But the relation of algebraic structure between Ep(L) and L does not described. This paper is concerned with the extension of a generalized boolean lattice from the point of the algebrastructure.Then give out the smallest extension boolean lattice of a generalized booleanlattice.

关 键 词：单点紧扩张 布尔格 扩张布尔格 

分 类 号：O153.1[理学—数学]