SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS IN SOME MOUFANG-KLINGENBERG PLANES

被引：2

作者：

Celik, Nisa ^{[1
]}

Ciftci, Sueleyman ^{[1
]}

Akpinar, Atilla ^{[1
]}

机构：

[1] Uludag Univ, Sci & Art Fac, Dept Math, TR-16059 Gorukle, Bursa, Turkey

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2010年 / 9卷 / 02期

关键词：

Moufang-Klingenberg planes; local alternative ring; cross-ratio; 6-figure; ratio of 6-figure;

D O I：

10.1142/S0219498810003811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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).

引用

页码：173 / 184

页数：12

共 12 条

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