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, Greece, 19 - 25 September 2016, vol.1863 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1863
  • Doi Number: 10.1063/1.4992473
  • City: Rhodes
  • Country: Greece
  • Bursa Uludag University Affiliated: Yes

Abstract

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].