关于原子、原子代数的一种新观点  

A new point of view on atom and atomic algebra

作　　者：李选民[1] 刘长安[1] 张丽丽[1] 

机构地区：[1]西安工业学院数理系,陕西西安710032

出　　处：《纺织高校基础科学学报》2005年第1期46-49,53,共5页Basic Sciences Journal of Textile Universities

摘　　要：在不涉及偏序关系和序结构的前提下,用一种新的观点剖析了一个熟悉的代数系统———布尔代数,加深了离散数学中代数系统的有关概念的理解和认识.特别本文用新的观点给出了"原子"的定义,这个定义给出了"原子"的"不可再分"的本来含义,并且将有限布尔代数的Stone定理推广到所谓原子代数中去.Without the partial ordering relation and ordering structure, a conversant algebra system Boolean algebra is analyzed with a new point of view in this paper, which makes most concepts in discrete mathematical being understood more deeply. Especially, by use of the new point, the concept of atom is defined from which the essential implications of atom and nonseparation are brought in, and Stone theorem of finite Boolean algebra is extended to alleged atomic algebra.

关 键 词：代数系统 布尔代数 原子代数 

分 类 号：O153.2[理学—数学]