On addition and multiplication of points in a certain class of projective Klingenberg planes
Date
2013-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
Let be the coordination quadruple of the projective Klingenberg plane (PK-plane) coordinated with dual quaternion ring , where Q is any quaternion ring over a field. In this paper, we define addition and multiplication of points on the line geometrically, also we give the algebraic correspondences of them. Finally, we carry over some well-known properties of ordinary addition and multiplication to our definition.
Description
Keywords
Mathematics, Projective Klingenberg plane, Local ring, Geometric addition, Geometric multiplication
Citation
Çelik, B. ve Erdoğan, F. Ö. (2013). “On addition and multiplication of points in a certain class of projective Klingenberg planes”. Journal of Inequalities and Applications, 2013.