On Structure And Commutativity Of Near-rings

The aim of this paper is to generalize Certain Near-rings are rings. Here wernare interested in two problems concerning certain classes of Near-ringsrnsatisfying the following polynomial identities:-rn(* ) For each in x,y a near-ring N, there exist positive integers t=t ( x,y) >1 S=Srnand (x,y ) >1 such that .xy +Ys xt rn( **) For each x,y in a near-ring N,there exist positive integers t=trn( x,y) >1 and S=S (x,y ) >1 such that xy=+ Xt Ys

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