Determinination of Pretopological Molecular Lattices
Ying Xu · Journal of Neijiang Normal University · 2008
Some notions,such as open pretopologies,boundaries,pseudo-interior operators,pseudo-boundary operators,are defined on a complete lattice L which has orderreversing involution,called DeMorgan algebra.It is proved that the set of all open pretopologies,pseudo-interior operators and pseudo-closure operators on L are all complete lattices which are isomorphic to each other,the set of all pseudo-boundary operators and closed pretopologies on L are complete lattices which are isomorphic to each other.