Volume 23 • Number 2 • 2000   • P(r,m) near-Rings R. Balakrishnan and S. Suryanarayanan Abstract. In this paper we introduce the concept of P(r,m) near-rings where r, m are positive integers. Under certain conditions, we (i) obtain a complete characterization of such near-rings (ii) discuss their properties vis-a-vis subdirect irreducibility, semiprimeness etc. and (iii) obtain a structure theorem for such near-rings. Full text: PDF