publication . Preprint . 2016

Affine planes, ternary rings, and examples of non-Desarguesian planes

Ivanov, Nikolai V.;
Open Access English
  • Published: 17 Apr 2016
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.
Subjects
free text keywords: Mathematics - Combinatorics, 51E15, 51A35 (Primary), 12K99 (Secondary)
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