Some Studies Of Special Subsemigroups Lattice Of Completely Regular Semigroups

In this paper,we mainly study the correlation properties and characteristics of completely regular subsemigroups lattice of completely regular semigroups.It characterizes the properties and characteristics of the completely regular semigroups whose completely regular subsemigroups lattice is modular lattice,semimodular lattice,0-modular lattice.At the same time,the sufficient and necessary conditions of the completely regular subsemigroups whose completely regular subsemigroups lattice is chain,complemented lattice and relative complemented lattice are given.