P-v-primeness in near rings

This thesis consists of five sections. In the first section, the literature knowledge about the study has been given. In the second section, the basic knowledges about the near rings have been given. In the third section, prime ideals in near rings and the relationships between these ideals have been examined in details. In the fourth section, which consists of an original study, the concepts of P-3-prime ideal and P-3-prime near ring for an ideal P of a near ring have been defined by expanding the concept of 3-primeness. Then, it has been investigated that the relations between P-3-primeness and P-c-primeness, c-primeness, 3-primeness. In the fifth section, the definitions of P-(right, left) unit and P-(right, left) inverse for an ideal P of a near ring have been given. Then, some results about these concepts have been obtained.