Persistent Link:
http://hdl.handle.net/10150/187088
Title:
Planar nearrings and block designs.
Author:
Sun, Hsin-Min.
Issue Date:
1995
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
It has been known that circles (or rays) can be defined in finite planar nearrings, as well as their relationship with two main topics of block designs: BIBD (balanced incomplete block design) and PBIBD (partially balanced incomplete block design). In this dissertation we explore the possibilities of defining (line) segments and lines in some finite planar nearrings, as well as their relationship with block designs. It turns out that there are more general methods for the constructions of block designs.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Clay, James R.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titlePlanar nearrings and block designs.en_US
dc.creatorSun, Hsin-Min.en_US
dc.contributor.authorSun, Hsin-Min.en_US
dc.date.issued1995en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIt has been known that circles (or rays) can be defined in finite planar nearrings, as well as their relationship with two main topics of block designs: BIBD (balanced incomplete block design) and PBIBD (partially balanced incomplete block design). In this dissertation we explore the possibilities of defining (line) segments and lines in some finite planar nearrings, as well as their relationship with block designs. It turns out that there are more general methods for the constructions of block designs.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairClay, James R.en_US
dc.contributor.committeememberBrillhart, Johnen_US
dc.contributor.committeememberGrove, Larry C.en_US
dc.identifier.proquest9531109en_US
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