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2 results on '"Harmonic position"'

1. On harmonicity in some Moufang-Klingenberg planes.

Author

Çelik, Basri, Akpınar, Atilla, and Çiftçi, Süleyman

Subjects
*NONASSOCIATIVE rings, *ALTERNATIVE rings, *HARMONIC analysis (Mathematics), *MEASURE algebras, *BANACH algebras
Abstract

In this paper we study Moufang-Klingenberg planes M(A) defined over a local alternative ring A of dual numbers. We show that some collineations of M(A) preserve cross-ratio and thus establish a relation between harmonicity and harmonic position. [ABSTRACT FROM AUTHOR]

Published
2010
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2. On harmonicity in some Moufang-Klingenberg planes

Author

SÜLEYMAN ÇİFTÇİ, ATİLLA AKPINAR, BASRİ ÇELİK, Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü., Çelik, Basri, Akpınar, Atilla, Çiftçi, Süleyman, ABB-9790-2020, and AAE-2600-2019

Subjects
Local alternative ring, Moufang-Klingenberg planes, Mathematics::Group Theory, Moufang-Klingenberg planes,local alternative ring,projective collineation,cross-ratio,harmonicity,harmonic position, General Mathematics, Cross-ratio, Local Ring, Projective Transformation, Collineation, Projective collineation, Harmonic position, Harmonicity, 6-figures, Mathematics
Abstract

In this paper we study Moufang-Klingenberg planes M (A) defined over a local alternative ring A of dual numbers. We show that some collineations of M (A) preserve cross-ratio and thus establish a relation between harmonicity and harmonic position.

Published
2014

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