On certain classes of near-rings.

Bibliographic Details
Main Author:	Ligh, Steve Chong Hong
Other Authors:	Bryant, Jack (degree committee member.), Holland, C. D. (degree committee member.), Luther, H. A. (degree committee member.), Thompson, Russell G. (degree committee member.)
Format:	Thesis Book
Language:	English
Published:	[College Station, Tex.], 1969.
Subjects:	Major mathematics. Academic theses.
Online Access:	Link to ProQuest copy Link to OAKTrust copy

Description
Abstract:	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. ...
Physical Description:	41 leaves