The collineations which act as addition and multiplication on points in a certain class of projective Klingenberg planes

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Atıf İçin Kopyala

ÇELİK B., DAYIOĞLU A.

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

• Yayın Türü: Makale / Tam Makale
• Cilt numarası:
• Basım Tarihi: 2013
• Doi Numarası: 10.1186/1029-242x-2013-193
• 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 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 .