The Z-Semibasis and Locally Z-Semibasis on Z-Semicontinuous Lattices
Jinbo Yang · Journal of Jiangxi Normal University · 2012
As a generalization of semibasis and locally semibasis on a semicontinuous lattice,Z-semibasis and lo-cally Z-semibasis on a Z-semicontinuous lattice are introduced for a generalized ideal subsets system Z.Some properties of Z-semibasis,locally Z-semibasis and Z-semi-Lawson topology on a Z-semicontinuous lattice are pre-sented.In particular,some characterizations of Z-semicontinuous lattices with the help of Z-semibasis are given.