Affine planes, ternary rings, and examples of non-Desarguesian planes
@article{Ivanov2016AffinePT,
title={Affine planes, ternary rings, and examples of non-Desarguesian planes},
author={Nikolai V. Ivanov},
journal={arXiv: Combinatorics},
year={2016}
}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.
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