On Structure and Commutativity of Near-Rings
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Date
2018-08-12
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Addis Ababa University
Abstract
The 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 Ys
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Keywords
Near-Rings, Distributively Generated Near-Ring, Zerosymmetric, Zero-Commutative, Commutativity, Orthogonal Sum and Decomposition of Near-Rings