Results On Generalized Regular And Strongly Regular Near-Rings

Abstract

Some results on r-regular (r-RN) and also in s-weakly regular (s-WRN)near-rings were established in this article. It is proved that for a near-ring ℋ  is s-WRN, then ℋ is simple iff ℋ is integral. And also proved that for an r-RN ℋ with unity and satisfies IFP, then ℋ has the strong IFP iff ℋ is a PSN.