A universal construction for projective Hjelmslev planes of level
G. Hanssens, H. Van Maldeghem (1989)
Compositio Mathematica
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Displaying similar documents to “Subplanes of order 3 in Hughes planes.”
A universal construction for projective Hjelmslev planes of level
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Some Generalization of Nearaffine Planes
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Bulletin of the Polish Academy of Sciences. Mathematics
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There are three kinds of Benz planes: Möbius planes, Laguerre planes and Minkowski planes. A Minkowski plane satisfying an additional axiom is connected with some other structure called a nearaffine plane. We construct an analogous structure for a Laguerre plane. Moreover, our description is common for both cases.
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Cigić, V. (1986)
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Extending Nearaffine Planes to Hyperbola Structures
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Bulletin of the Polish Academy of Sciences. Mathematics
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H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.
Tangents of conics in Hjelmslev planes over a local ring of even characteristic
Viliam Chvál, Rastislav Jurga (1998)
Mathematica Slovaca
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