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Title: | The collineations which act as addition and multiplication on points in a certain class of projective Klingenberg planes |
Authors: | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0001-8441-6406 0000-0001-8441-6406 0000-0001-7234-8063 Çelik, Basri Dayıoğlu, Abdurrahman AAZ-8873-2021 E-7601-2013 AAE-2600-2019 23026643900 54402697300 |
Keywords: | Mathematics Projective Klingenberg planes Collineations Local ring Division ring 6-figures |
Issue Date: | Apr-2013 |
Publisher: | Springer |
Citation: | Çelik, B. (2013). “The collineations which act as addition and multiplication on points in a certain class of projective Klingenberg planes”. Journal of Inequalities and Applications, 2013. |
Abstract: | Let be the projective Klingenberg plane coordinated by the dual quaternion ring where Q is any quaternion ring. In this paper, we determine the addition and multiplication of the points on the line of as the image of some collineations of the plane . To do this, we give the collineations and . Later we show that the addition and multiplication of the nonneighbor points on the line can be obtained as the images under that and . MSC: 51C05, 51J10, 12E15. |
URI: | https://doi.org/10.1186/1029-242X-2013-193 https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-193 http://hdl.handle.net/11452/33145 |
ISSN: | 1029-242X |
Appears in Collections: | Web of Science |
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Çelik_Dayıoğlu_2013.pdf | 273.17 kB | Adobe PDF | View/Open |
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