On addition and multiplication of points in a certain class of projective Klingenberg planes

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Atıf İçin Kopyala

ÇELİK B., Erdogan F.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded)

• 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.