Semi-Smooth Lattices
Xiaoquan Xu · Journal of Jiangxi Normal University · 2008
In this paper,the concepts of semi-Smooth lattices and semi-Smooth algebraic lattices are introduced.Some basic properties of them and the relation with semi-continuous lattices are investigated.It is proved that a complete lattice is completely distributive lattice if and only if it is both semi-Smooth lattice and semi-continuous lattice.