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

Famous quotes containing the words connection with, connection and/or planes:

    ... instinct is the direct connection with truth.
    Laurette Taylor (1887–1946)

    ... instinct is the direct connection with truth.
    Laurette Taylor (1887–1946)

    After the planes unloaded, we fell down
    Buried together, unmarried men and women;
    Robert Lowell (1917–1977)