P(r,m)near-Rings
Bulletin of the Malaysian Mathematical Society, Tome 23 (2000) no. 2
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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.