Cross-ratios and 6-figures in some Moufang-Klingenberg planes

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dc.contributor.buuauthorAkpınar, Atilla
dc.contributor.buuauthorÇelik, Basri
dc.contributor.buuauthorÇiftçi, Süleyman
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0001-7234-8063tr_TR
dc.contributor.orcid0000-0002-7612-2448tr_TR
dc.contributor.researcheridAAE-2600-2019tr_TR
dc.contributor.researcheridABB-9790-2020tr_TR
dc.contributor.scopusid23026537500tr_TR
dc.contributor.scopusid23026643900tr_TR
dc.contributor.scopusid26635052900tr_TR
dc.date.accessioned2022-03-11T08:56:29Z
dc.date.available2022-03-11T08:56:29Z
dc.date.issued2008
dc.description.abstractThis paper deals with Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. The definition of cross-ratio is extended to M(A). Also, some properties of cross-ratios and 6-figures that are well-known for Desarguesian planes are investigated in M(A); so we obtain relations between algebraic properties of A and geometric properties of M(A). In particular, we show that pairwise non-neighbour four points of the line g are in harmonic position if and only if they are harmonic, and that p is Menelaus or Ceva 6-figure if and only if r (mu) = - 1 or r (mu) = 1, respectively.en_US
dc.identifier.citationAkpınar, A. vd. (2008). "Cross-ratios and 6-figures in some Moufang-Klingenberg planes". Bulletin of the Belgian Mathematical Society - Simon Stevin, 15(1), 49-64.en_US
dc.identifier.endpage64tr_TR
dc.identifier.issn1370-1444
dc.identifier.issue1tr_TR
dc.identifier.scopus2-s2.0-42349091928tr_TR
dc.identifier.startpage49tr_TR
dc.identifier.urihttps://doi.org/10.36045/bbms/1203692446
dc.identifier.urihttps://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-15/issue-1/Cross-Ratios-and-6-Figures-in-some-Moufang-Klingenberg-Planes/10.36045/bbms/1203692446.full
dc.identifier.urihttp://hdl.handle.net/11452/24953
dc.identifier.volume15tr_TR
dc.identifier.wos000255315100005tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherBelgin Mathematical Soc Triompheen_US
dc.relation.journalBulletin of the Belgian Mathematical Society - Simon Stevinen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subject6-figureen_US
dc.subjectCross-ratioen_US
dc.subjectLocal alternative ringen_US
dc.subjectMoufang-klingenberg planesen_US
dc.subject.scopusLine; Projective Transformation; Collineationen_US
dc.subject.wosMathematicsen_US
dc.titleCross-ratios and 6-figures in some Moufang-Klingenberg planesen_US
dc.typeArticle
dc.wos.quartileQ4en_US

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