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

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 b_i x^p_i yⁿ_i x^q_i, where the number of summands and b_i, p_i, n_i , q_i all vary  with x, y Î N, b_i, p_i, q_i ³ 1 and n_i ³ 1.