On the relation between addition of collinear points and collineations in PK2(Q(epsilon))
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Date
2017
Authors
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Journal ISSN
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Publisher
Amer Phyical Society
Abstract
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].
Description
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.
Keywords
Mathematics, Physics, Projective klingenberg plane, Dual local ring, Addition, Quaternions, Collineations, 6-Flgures
Citation
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.