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Ternary rings with zero associated to translation planes. (English) Zbl 0273.50017


MSC:

51E20 Combinatorial structures in finite projective spaces
51N10 Affine analytic geometry
16Y60 Semirings
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References:

[1] R. Baer: Homogeneity of Projective Planes. Amer. J. Math. 64 (1942), 137-157. · Zbl 0060.32207 · doi:10.2307/2371674
[2] R. H. Bruck: Recent Advances in the Foundations of Euclidean Plane Geometry. Herbert Ellsworth Slaught Memorial Papers, No 4, Supplement of the Amer. Math. Monthly, 62 (1955), No 7, 2-17. · Zbl 0066.13804 · doi:10.2307/2308175
[3] G. E. Martin: Projective Planes and Isotopic Ternary Rings. Amer. Math. Monthly 74 (1967) II, 1185-1195. · Zbl 0164.51401 · doi:10.2307/2315659
[4] G. Pickert: Projektive Ebenen. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955. · Zbl 0066.38707
[5] Л. А. Скорняков: Натуральные тела Веблен-Ведербановой плоскости. Известия академии наук СССР, серия математическая 13 (1949), 447-472. · Zbl 1152.51302
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