Affine planes, ternary rings, and examples of non-Desarguesian planes
Combinatorics
2016-04-19 v1
Abstract
The paper is devoted to a detailed self-contained exposition of a part of the theory of affine planes leading to a construction of affine (or, equivalently, projective) planes not satisfying the Desarques axiom. It is intended to complement the introductory expositions of the theory of affine and projective planes. A novelty of our exposition is a new notation for the ternary operation in a ternary ring, much more suggestive than the standard one.
Keywords
Cite
@article{arxiv.1604.04945,
title = {Affine planes, ternary rings, and examples of non-Desarguesian planes},
author = {Nikolai V. Ivanov},
journal= {arXiv preprint arXiv:1604.04945},
year = {2016}
}
Comments
25 pages