Soft ideals and soft filters of soft ordered semigroups

It is shown that soft ordered semigroups over an ordered semigroup are actually soft ordered subsemigroups of (S,A)(S,A). Soft idealistic semigroups over an ordered semigroup are soft ideals of soft ordered semigroup (S,A)(S,A). The concept of soft filters of a soft ordered semigroup is introduced. It is shown that restricted complement of a soft filter is a soft prime ideal of (S,A)(S,A).