On addition and multiplication of points in a certain class of projective Klingenberg planes
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1029-242x-2013-230
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.