On certain classes of near-rings
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1969
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Three special classes of near-rings are studied in this dissertation: near-fields, distributively generated near-rings, and near-rings with zero divisors. Chapter I contains introductory material. In Chapter II various necessary and sufficient conditions for a near-ring to be a near-field are given. Results include: Theorem. A near-ring R is a near-field if and only if R contains a right distributive element r [does not equal] = and for each a [does not equal] 0 in R, aR = R. ...
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Major mathematics