SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS IN SOME MOUFANG-KLINGENBERG PLANES
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.9, sa.2, ss.173-184, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 2
- Basım Tarihi: 2010
- Doi Numarası: 10.1142/s0219498810003811
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.173-184
- Anahtar Kelimeler: Moufang-Klingenberg planes, local alternative ring, cross-ratio, 6-figure, ratio of 6-figure
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In this paper, we study on Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. We get relations between some special 6-figures and its ratios. Also, we construct a relation between the solvability of the special quadric equation in A and the existence of the special 6-figure in M(A). Moreover, we give a construction which provides an algorithm for "squaring" and "cubing" a cross-ratio of points in M(A).