Closure Operator Lattice and it's Distributive Law
WU Hong-bo · Journal of Yunnan Normal University · 2009
Based on the research of closure operation's properties,closure operator and usual order between two closure operators on the given set have been introduced and least upper bound,greatest lower bound of closure operators on the given set have been constructed,thus all closure operators on the given set constitute a complete lattice with the usual order defined in this paper.Simultaneously it is proved that the closure operator lattice does not satisfy the distributive law.