有1分配格的另一等价定义  

Another Equivalent Definition of Distributive Lattices with Unit Element

作　　者：黄红雨 张昆龙[1] HUANG Hongyu;ZHANG Kunlong(College of Science,Minzu University of China,Beijing 100081,China)

机构地区：[1]中央民族大学理学院,北京100081

出　　处：《中央民族大学学报（自然科学版）》2023年第4期5-9,共5页Journal of Minzu University of China(Natural Sciences Edition)

摘　　要：本文首先介绍了格、分配格和有1分配格的定义、定理,然后提出了两个新的有1分配格的三条件等价定义,这两个等价定义比原来四条件等价定义的等式个数更少、长度更短,最后根据有1分配格所满足的五条运算律做了与原始定义的等价性证明。Firstly,this paper introduces the definitions of the lattice,distributive lattice,and distributive lattices with unit element,then gives two three-condition equivalence definitions of distributive lattices with unit element.These two equivalence definitions are fewer than the original four-condition equivalence definitions.Lastly,we prove the equivalence with the original definition according to the five operating laws satisfied by the distributive lattices with unit element.

关 键 词：分配律 单位元 等价性 

分 类 号：O153[理学—数学]