• CERTAIN NEAR-FIELD SPACES ARE NEAR-FIELDS (C-NFS-NF)

Dr. N. V. NAGENDRAM

Abstract


In the present paper it is shown that N must be commutative if distributively generated (d – g) near-field space N satisfying the axiom: yx = p(x, y), where p(x, y) is a finite sum of temrs of the form bi xpi yni xqi, where the number of summands and bi, pi, ni , qi all vary  with x, y Î N, bi, pi, qi ³ 1 and ni³ 1.


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