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Title: | On the relation between addition of collinear points and collineations in PK2(Q(epsilon)) |
Authors: | Simos, T. Tsitouras, C. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0001-7234-8063 0000-0001-8441-6406 Dayıoğlu, Abdurrahman Çelik, Basri AAE-2600-2019 AAZ-8873-2021 E-7601-2013 54402697300 23026643900 |
Keywords: | Mathematics Physics Projective klingenberg plane Dual local ring Addition Quaternions Collineations 6-Flgures |
Issue Date: | 2017 |
Publisher: | Amer Phyical Society |
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. |
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. |
URI: | https://doi.org/10.1063/1.4992473 http://hdl.handle.net/11452/33613 |
ISBN: | 978-0-7354-1538-6 |
ISSN: | 0094-243X |
Appears in Collections: | Scopus Web of Science |
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