In this paper, we begin with to introduce the concepts of IFP and strong IFP in near-rings and then give some characterizations of IFP in near-rings. Next we derive reversible IFP, and then equivalences of the concepts of strong IFP and strong reversibility. Finally, we obtain some conditions to become strong IFP in right permutable near-rings and strongly reversible near-rings.
IFP;strong IFP;reduced;reversible;strongly reversible;right permutable and reversible IFP;
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