Representations Of Ample Semigroups

Matrix representation of type-G is introduced.It is proved that any representation of type-G of an ample semigroup can be expressed as the di-rect sum of some representations obtained via homogenous representations on primitive adequate semigroups.Further we give the structure of homogenous representations of primitive adequate semigroups.In addition,we consider indecomposable representations of type-G of ample semigroups and their con-structions.