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首页> 外文期刊>Journal of algebra and its applications >SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS INSOME MOUFANG–KLINGENBERG PLANES
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SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS INSOME MOUFANG–KLINGENBERG PLANES

机译:6形和跨比例的Moufang–Klingenberg平面的某些性质

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摘要

In this paper, we study on Moufang-Klingenberg planes M(A) defined over a localalternative ring A of dual numbers. We get relations between some special 6-figures andits ratios. Also, we construct a relation between the solvability of the special quadricequation in A and the existence of the special 6-figure in M(A) . Moreover, we give aconstruction which provides an algorithm for "squaring" and "cubing" a cross-ratio ofpoints in M(A).
机译:在本文中,我们研究了在双数局部交替环A上定义的Moufang-Klingenberg平面M(A)。我们得到一些特殊的6位数字及其比率之间的关系。此外,我们构造了A中特殊四等式的可解性与M(A)中特殊6位数字的存在之间的关系。此外,我们给出了一种构造,该构造提供了用于对M(A)中的交叉点进行“平方”和“求立方”的算法。

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