2016/04/18 by Ivanov, Nikolai V.
#12K99 (Secondary) #51A35 (Primary) #51E15 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.04945
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.