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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2010 Volume 12, Number 1, Pages 10–16 (Mi vmj2)

To concept «middle» of affine planes

Y. P. Yemelchenkov, N. L. Shatokhin

Smolensk State University

Abstract: Some approaches to the definition of «middle» in an affine plane are offered; it is proved that in any leftalternative plane all given definitions are equivalent.

Key words: an affine plane, a plane of translations, Fano axiom.

UDC: 512.552.32

Received: 16.05.2008



© Steklov Math. Inst. of RAS, 2024