摘要
研究了非空集合上真理想族的上、下确界.在非标准扩大模型中,采用单子论的研究方法,提出了非空集合上真理想族上、下确界的定义,在此基础上研究了真理想族上、下确界存在的充要条件,并得到了真理想族在上、下确界存在的条件下的一些运算性质.
The suprume and infium of a family of proper ideals on anonempty set are studied. Meanwhile, the method of monad theory is used in the nonstandardenlarged model. And, the definition of the suprume and infium of a family ofproper ideals are introduced and some necessary and sufficient conditions oftheir existence are discussed. Furthermore, the properties of suprumeand infium of a family of proper ideals are obtained.
出处
《云南大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第4期329-333,共5页
Journal of Yunnan University(Natural Sciences Edition)
基金
陕西省自然科学基金资助项目(2007A12)
西安建筑科技大学青年科技基金资助项目(QN0736)
关键词
真理想
非标准扩大模型
上确界
单子
hspace proper ideals
nonstandardenlargement
suprume
monad