摘要
本文讨论了理想格的完全分配性,证明了对完备格L,理想格Id(L)是完全分配的当且仅当L是余素元有限并生成的。
In this paper, the complete distributivity of ideal lattices is investigated. It is proved that for a complete lattice L, its ideal lattice Id (L) is completely distributive if and only if every element of L is a join of finitely co-prime elements of L.
出处
《模糊系统与数学》
北大核心
2017年第3期127-130,共4页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11161023
11661057)
"赣鄱英才555工程"领军人才培养计划项目
江西省自然科学基金资助项目(20114BAB201008
20161BAB2061004)
关键词
理想格
完全分配性
余素元
有限并生成
Ideal Lattice
Complete Distributivity
Co-prime Element
Finite Join Generating