Near-vector spaces determined by finite fields and their fibrations

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dc.contributor.authorHowell, Karin-Thereseen_ZA
dc.date.accessioned2021-01-27T15:21:31Z
dc.date.available2021-01-27T15:21:31Z
dc.date.issued2019
dc.descriptionCITATION: Howell, K. T. 2019. Near-vector spaces determined by finite fields and their fibrations. Turkish Journal of Mathematics, 43: 2549-2560, doi:10.3906/mat-1905-110.
dc.descriptionThe original publication is available at http://journals.tubitak.gov.tr
dc.description.abstractIn this paper we study near-vector spaces constructed from copies of finite fields. We show that for these near-vector spaces regularity is equivalent to the quasikernel being the entire space. As a second focus, we study the fibrations of near-vector spaces. We define the pseudo-projective space of a near-vector space and prove that a special class of near-vector spaces, namely those constructed using finite fields, always has a fibration associated with them. We also give a formula for calculating the cardinality of the pseudo-projective space for this class of near-vector spaces.en_ZA
dc.description.urihttps://journals.tubitak.gov.tr/math/abstract.htm?id=25679
dc.description.versionPublisher's version
dc.format.extent12 pages
dc.identifier.citationHowell, K. T. 2019. Near-vector spaces determined by finite fields and their fibrations. Turkish Journal of Mathematics, 43: 2549-2560, doi:10.3906/mat-1905-110
dc.identifier.issn1303-6149 (online)
dc.identifier.otherdoi:10.3906/mat-1905-110
dc.identifier.urihttp://hdl.handle.net/10019.1/109028
dc.language.isoen_ZAen_ZA
dc.publisherScientific and Technological Research Council of Turkey
dc.publisherScientific and Technological Research Council of Turkey
dc.rights.holderAuthor retains copyright
dc.subjectNear-vector spacesen_ZA
dc.subjectVector spacesen_ZA
dc.subjectFinite fields (Algebra)en_ZA
dc.subjectFibrationsen_ZA
dc.subjectKernal functionsen_ZA
dc.subjectDirected graphsen_ZA
dc.titleNear-vector spaces determined by finite fields and their fibrationsen_ZA
dc.typeArticleen_ZA
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