摘要
在偏序集上利用上集算子和下集算子引入了弱理想,弱滤子,弱素理想,弱素滤子,弱极大理想和弱极大滤子等概念,研究了它们的若干性质,同时给出了偏序集上的(DPI),(BPI),(DMI),(BUF)公理并建立了它们与Zorn引理之间的相互关系。
In this paper, the concepts of weak ideals, weak filters, weakly prime ideals, weakly prime filters, weakly maximal ideals and weakly maximal filters are proposed in posets and some properties of them are discussed. Meantime, some axioms are extended to posets like （DPI）, （BPI）, （DMI）, （BUF） and the relations between these axioms and Zorn Lemma are built.
出处
《模糊系统与数学》
CSCD
北大核心
2009年第1期111-116,共6页
Fuzzy Systems and Mathematics
关键词
弱理想
弱滤子
弱素理想
弱素滤子
弱极大理想
弱极大滤子
Weak Ideals
Weak Filters
Weakly Prime Ideals
Weakly Prime Filters
Weakly Maximal Ideals
Weakly Maximal Filters
