Abstract
In this paper ,I generalize concepts of ?1,?2 near-ring as well as of completely semi prime ideal with respect to an element x of a ?1,?2 near-ring and the completely prime ideal of a ?1,?2 near-ring with respect to an element x and the relationships between the completely prime ideal with respect to an element x of a ?1,?2 near-ring and some other types of ideals,as well as I will valid if I is c.p.I of ?1,?2 near-ring iff is a x-c.s.p.I of a ?1,?2 near-ring as well as valid if I is c.p.I of ?1,?2 near-ring iff is a x-c.s.p.I of ?1,?2 near-ring as well as I is e -c.p.I of ?1,?2 near-ring iff it is a e -c.s.p.I of ?1,?2 near-ring and all its valid after put condition of Boolean a ?1,?2 near-ring .