The Representations Of Generalized λ Hypercontinuous Lattices, Generalized λ Competely Distributive Lattices And Strongly Algebra Lattices

In this paper, it is introduced the concepts of generalized A hypercontinuous lattices and generalized A compeletly distributive lattices. It is proved that the λ -interval topology θλ(L) on a complete lattice L is strictly T2(?) L is generalized A hypercontinuous (?) the relation (?) on L is generalized A regular; L is generalized A compeletly distributive lattices (?)Lop generalized A hypercontinuous lattices(?) the relation (?)op=(?) on L is generalized A regular. Finally, the relational representation of strongly algebra lattices is given.