In mathematics, a **ternary ring** is an algebraic structure consisting of a non-empty set and a ternary mapping, and a **planar ternary ring** (PTR) or **ternary field** is special sort of a ternary ring used by Hall (1943) to give coordinates to projective planes. A planar ternary ring is not a ring in the traditional sense.

Read more about Planar Ternary Ring: Definition, Connection With Projective Planes

### Other articles related to "ternary, ring, planar ternary ring, planar ternary rings":

Pólya Enumeration Theorem - Examples - Rooted Ternary Trees

... The set T3 of rooted

... The set T3 of rooted

**ternary**trees consists of rooted trees where every node has exactly three children (leaves or subtrees) ... Small**ternary**trees are shown at right ... Note that**ternary**trees with n vertices are equivalent to trees with n vertices of degree at most 3 ...Ternary Tree

... In computer science, a

... In computer science, a

**ternary**tree is a tree data structure in which each node has at most three child nodes, usually distinguished as "left", “mid ...**Ternary**trees are used to implement**Ternary**search trees and**Ternary**heaps ...Projective Plane - Affine Planes - Generalized Coordinates

... One can construct a coordinate "

... One can construct a coordinate "

**ring**"—a so-called**planar ternary ring**(not a genuine**ring**)—corresponding to any projective plane ... A**planar ternary ring**need not be a field or division**ring**, and there are many projective planes that are not constructed from a division**ring**... because the octonions do not form a division**ring**...**Planar Ternary Ring**- 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 ... However, two nonisomorphic

**planar ternary rings**can lead to the construction of isomorphic projective planes ...

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