2023-06-222023-06-222013-12Çelik, 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, 2013.1029-242Xhttps://doi.org/10.1186/1029-242X-2013-230http://hdl.handle.net/11452/33125Let 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.eninfo:eu-repo/semantics/openAccessMathematicsProjective Klingenberg planeLocal ringGeometric additionGeometric multiplicationArticle0003203976000012-s2.0-848945141282013Mathematics, appliedMathematicsLine; Projective Transformation; Collineation