Determinination of L-pretopologies
LI Sheng-gang · Acta Scientiarum Naturalium Universitatis Neimongol · 2006
It is proved that the set of all L-pretopologies,the set of all L-preclosure operators,and the set of all L-preinterior operators on a given set X are all complete lattices which are isomorphic to each other.It is also proved that the set of all L-pretopologies that satisfy certain conditions and the set of all L-pre-N-derived operators on a given set X are complete lattices which are isomorphic to each other.