Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/24631
Title: Cross-ratios of points and lines in some Moufang-Klingenberg planes
Authors: Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.
0000-0002-7612-2448
0000-0001-7234-8063
Akpınar, Atilla
Çelik, Basri
Çiftçi, Süleyman
ABB-9790-2020
AAE-2600-2019
23026537500
23026643900
26635052900
Keywords: Mathematics
Moufang-Klingenberg planes
Local alternative ring
Cross-ratio
Issue Date: Feb-2011
Publisher: Hacettepe Üniversitesi
Citation: Akpınar, A. vd.(2011). "Cross-ratios of points and lines in some Moufang-Klingenberg planes". Hacettepe Journal of Mathematics and Statistics, 40(1), 1-13.
Abstract: This paper deals with Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. The cross-ratio of concurrent lines is defined in a special case, and extended to the whole plane M(A). So, some results related to cross-ratios of points of M(A) are carried over to lines of M(A). Namely, we show that four pairwise non-neighbour lines passing through the point U are in harmonic position if and only if they are harmonic.
URI: http://www.hjms.hacettepe.edu.tr/uploads/b271203a-2591-4e63-aa2a-c241b8e7821c.pdf
http://hdl.handle.net/11452/24631
ISSN: 1303-5010
Appears in Collections:Scopus
TrDizin
Web of Science

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