摘要
研究格的凸子格的性质,建立格的非空凸子格组成的幂格与幂格的联系,证明在同构意义下,分配格的幂格都是它的非空凸子格组成的幂格的子格。
In this paper, we study properties of convex sublattice in lattice, and establish relation between power lattice consists of nonempty convex sublattices and power lattice. It is proved that power lattice is isomorphic to sublattice that power lattice consists of nonempty convex sublattices in distributive lattices.
出处
《模糊系统与数学》
CSCD
北大核心
2012年第1期48-51,共4页
Fuzzy Systems and Mathematics
基金
江西省教育厅科学技术基金资助项目(GJJ11611)
关键词
格
分配格
凸子格
幂格
Lattice
Distributive Lattices
Convex Sublattice, Power Lattice
