Anti-nets. I. (Basic notation and properties - closure conditions)

Jaroslav Lettrich

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On orthogonality in nets

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Časopis pro pěstování matematiky

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Special automorphisms of nets with Baer subnets

Jaroslava Jachanová (1981)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

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Construction of a net without transversals over a non-planar near-field

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One configurational characterization of Ostrom nets

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Bz the quadrileteral condition in a given net there is meant the following implication: If $A_{1}, A_{2}, A_{3}, A - 4$ are arbitrary points, no three of them lie on the same line, with coll $(A_{i} A_{j})$ (collinearity) for any five from six couples ${i, j}$ then there follows the collinearity coll $(A_{k} A_{l})$ for the remaining couple ${k, l}$ . In the article there is proved the every net satisfying the preceding configuration condition is necessarity the Ostrom net (i.e., the net over a field). Conversely, every Ostrom net satisfies the above configuration...