Abebaw Tilahun (PhD)Ayansa Muluneh2019-09-302023-11-042019-09-302023-11-042018-08-12http://etd.aau.edu.et/handle/123456789/19234The aim of this paper is to generalize Certain Near-rings are rings. Here we are interested in two problems concerning certain classes of Near-rings satisfying the following polynomial identities:- (* ) For each in x,y a near-ring N, there exist positive integers t=t ( x,y) >1 S=S and (x,y ) >1 such that .xy +Ys xt ( **) For each x,y in a near-ring N,there exist positive integers t=t ( x,y) >1 and S=S (x,y ) >1 such that xy=+ Xt YsenNear-RingsDistributively Generated Near-RingZerosymmetricZero-CommutativeCommutativityOrthogonal Sum and Decomposition of Near-RingsThesis