SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS IN SOME MOUFANG–KLINGENBERG PLANES
Nisa Çelik, Süleyman Çiftçi, Atilla Akpιnar · Journal of Algebra and Its Applications · 2010
In this paper, we study on Moufang–Klingenberg planes [Formula: see text] defined over a local alternative ring [Formula: see text] 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 [Formula: see text] and the existence of the special 6-figure in [Formula: see text]. Moreover, we give a construction which provides an algorithm for "squaring" and "cubing" a cross-ratio of points in [Formula: see text].