摘要
本文研究了分配格上的幂格.利用格的相对凸子格,建立了分配格上的幂格与凸子格之间的联系,获得了分配格上的幂格的刻划.
In this article, we study characterizations of power lattice on distributive lattices. By applying the concept of relative convex sublattices of lattice, we establish the relation between power lattice on distributive lattices and convex sublattices. As an application, a sufficient and necessary condition of power lattice on distributive lattices is obtained.
出处
《数学杂志》
CSCD
北大核心
2010年第6期1133-1135,共3页
Journal of Mathematics
基金
上饶师范学院科技项目
关键词
分配格
幂格
凸子格
相对凸子格
distributive lattice
power lattice
convex sublattices
relative convex sublattices
