平行可分解格的若干子类  

SOME SUBCLASSES OF PARALLEL DECOMPOSABLE LATTICES

作　　者：漆芝南[1] 

机构地区：[1]南昌大学数学与系统科学系

出　　处：《南昌大学学报（理科版）》1994年第4期323-327,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省自然科学基金

摘　　要：平行可分解格的很多重要性质已获得。本文主要结果是：若Ｌ是一个格，则以下条件等价。（１）Ｌ是分段有补分配格；（２）Ｌ是平行可分解格且Ｌ的每一个素理想是极小素理想；（３）Ｌ是平行可分解格且Ｌ＝（ａ）Ｖａ＇。Notion of parallel decomposable lattice is defined.We obtain its many importantproperties.In this paper the main results are the following:If L is a Lattice,then thefollowing are equivalent.(1)L is a sectionlly c0mplementary distributive lattice.(2)L is a parallel decomposable lattice and every prime ideal is minimal.(3)L is a parallel decomposable lattice and

关 键 词：平行可分解格 素理想 布尔格 根系 

分 类 号：O153.1[理学—数学]