On the Relation between Addition of Collinear Points and Collineations in PK2(Q(epsilon))

DAYIOĞLU A., ÇELİK B.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 19 - 25 Eylül 2016, cilt.1863 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992473
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we investigate some algebraic and geometric properties of the addition of points on [m, 1, p] and [1, n, p] in any PK-plane coordinated with the dual local ring of quaternions (PK2(Q(epsilon))). We define two collineations of PK2(Q(epsilon)) preserving the addition of points on the lines [m, 1, p] and [1, n, p].