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On the relation between addition of collinear points and collineations in PK2(Q(epsilon))

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Akademik Birimler

Kurum Yazarları

Dayıoğlu, Abdurrahman
Çelik, Basri

Yazarlar

Simos, T.
Tsitouras, C.

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Dil

Yayıncı:

Amer Phyical Society

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Özet

In this paper, we investigate some algebraic and geometric properties of the addition of points on [m, 1, p] and [1, n, p] in any PK-plane coordinated with the dual local ring of quaternions (PK2(Q(epsilon))). We define two collineations of PK2(Q(epsilon)) preserving the addition of points on the lines [m, 1, p] and [1, n, p].

Açıklama

Bu çalışma, 19-25, Eylül 2016 tarihlerinde Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) Kongresi‘nde bildiri olarak sunulmuştur.

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Konusu

Mathematics, Physics, Projective klingenberg plane, Dual local ring, Addition, Quaternions, Collineations, 6-Flgures

Alıntı

Dayıoğlu, A. ve Çelik, B. (2017). ''On the relation between addition of collinear points and collineations in PK2(Q(epsilon))''. ed, T. Simos ve C. Tsitouras. AIP Conference Proceedings, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (Icnaam-2016), 1863.

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