Abstract
It is shown that soft ordered semigroups over an ordered semigroup are actually soft ordered subsemigroups of ( S , A ) . Soft idealistic semigroups over an ordered semigroup are soft ideals of soft ordered semigroup ( 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 ) .
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