On addition and multiplication of points in a certain class of projective Klingenberg planes
Tóm tắt
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. MSC:51C05, 51N35, 14A22, 16L30.
Tài liệu tham khảo
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