Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/33145
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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