JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.9, no.2, pp.173-184, 2010 (SCI-Expanded)
Article / Article
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Moufang-Klingenberg planes, local alternative ring, cross-ratio, 6-figure, ratio of 6-figure
Bursa Uludag University Affiliated:
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).