Planar Ternary Ring - Connection With Projective Planes

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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