SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS IN SOME MOUFANG–KLINGENBERG PLANES-Reference-Cited by-同舟云学术

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

Published:2010-04 Issue:02 Volume:09 Page:173-184
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CELIK NISA¹,CIFTCI SÜLEYMAN¹,AKPINAR ATILLA¹

Affiliation:

1. Uludag University, Science and Art Faculty, Department of Mathematics, Gorukle, 16059, Bursa, Turkey

Abstract

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].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498810003811

Reference10 articles.

1. Cross-Ratios and 6-Figures in some Moufang-Klingenberg Planes

2. Cross-Ratios Over Local Alternative Rings

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