Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 3

Moufang-Klingenberg planes Related Publications

3 On Cross-Ratio in some Moufang-Klingenberg Planes

Authors: Basri Çelik, Atilla Akpinar

Abstract:

In this paper we are interested in Moufang-Klingenberg planesM(A) defined over a local alternative ring A of dual numbers. We show that a collineation of M(A) preserve cross-ratio. Also, we obtain some results about harmonic points.

Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonic points

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2 Two New Collineations of some Moufang-Klingenberg Planes

Authors: Basri Çelik, Atilla Akpinar

Abstract:

In this paper we are interested in Moufang-Klingenberg planesM(A) defined over a local alternative ring A of dual numbers. We introduce two new collineations of M(A).

Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation

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1 Some Collineations Preserving Cross-Ratio in some Moufang-Klingenberg Planes

Authors: Basri Çelik, Atilla Akpinar, Suleyman Ciftci

Abstract:

In this paper we are interested in Moufang-Klingenberg planesM(A) defined over a local alternative ring A of dual numbers. We show that some collineations of M(A) preserve cross-ratio.

Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio

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