Connection With Projective Planes
Given a planar ternary ring, one can construct a projective plane in this way ( is an extra symbol not in ):
- We define the incidence relation in this way :
One can prove that every projective plane is constructed in this way starting with a certain planar ternary ring. However, two nonisomorphic planar ternary rings can lead to the construction of isomorphic projective planes.
Read more about this topic: Planar Ternary Ring
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