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:
“Morality becomes hypocrisy if it means accepting mothers’ suffering or dying in connection with unwanted pregnancies and illegal abortions and unwanted children.”
—Gro Harlem Brundtland (b. 1939)
“Much is made of the accelerating brutality of young people’s crimes, but rarely does our concern for dangerous children translate into concern for children in danger. We fail to make the connection between the use of force on children themselves, and violent antisocial behavior, or the connection between watching father batter mother and the child deducing a link between violence and masculinity.”
—Letty Cottin Pogrebin (20th century)
“After the planes unloaded, we fell down
Buried together, unmarried men and women;”
—Robert Lowell (1917–1977)