On certain classes of near-rings

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dc.contributor.advisorMalone, Joseph J.
dc.contributor.committeeMemberBryant, Jack
dc.contributor.committeeMemberHolland, C. D.
dc.contributor.committeeMemberLuther, H. A.
dc.contributor.committeeMemberThompson, Russell G.
dc.creatorLigh, Steve Chong Hong
dc.date.accessioned2020-08-20T19:43:17Z
dc.date.available2020-08-20T19:43:17Z
dc.date.issued1969
dc.description.abstractThree 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. ...en
dc.format.digitalOriginreformatted digitalen
dc.format.extent41 leavesen
dc.format.mediumelectronicen
dc.format.mimetypeapplication/pdf
dc.identifier.oclc5717397
dc.identifier.urihttps://hdl.handle.net/1969.1/DISSERTATIONS-174706
dc.publisher.digitalTexas A&M University. Libraries
dc.rightsThis thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use.en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMajor mathematicsen
dc.titleOn certain classes of near-ringsen
dc.typeThesisen
dc.type.genredissertationsen
dc.type.materialtexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorTexas A&M Universityen
thesis.degree.levelDoctoralen
thesis.degree.levelDoctorialen
thesis.degree.nameDoctor of Philosophyen
thesis.degree.namePh. D. in Mathematicsen

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