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Uniforme Hjelmslev-Ebenen und modulare Verbände

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Literatur

  1. Andre, J.: Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe. Math. Zeitschr.60, 156–186 (1954).

    Google Scholar 

  2. Artmann, B.: On coordinates in modular lattices with a homogeneous basis. Illinois J. Math.12, 626–648 (1968).

    Google Scholar 

  3. — Hjelmslev planes derived from modular lattices. Canad. J. Math.21, 76–83 (1969).

    Google Scholar 

  4. Baer, R.: A unified theory of projective spaces and finite Abelian groups. Trans. Amer. Math. Soc.52, 283–343 (1942).

    Google Scholar 

  5. Birkhoff, G.: Lattice theory. 3rd ed. Amer. Math. Soc. Coll. Publ. XXV, Providence 1967.

  6. Bruck, R. H., and R. C. Bose: Linear representations of projective planes in projective spaces. J. Algebra4, 117–172 (1966).

    Google Scholar 

  7. Craig, R. T.: Extensions of finite projective planes. I. Uniform Hjelmslev planes. Canad. J. Math.16, 261–266 (1964).

    Google Scholar 

  8. Fryer, K. D.: Coordinates in non-Desarguesian complemented modular lattices. Proc. Symp. Pure Math. Vol. II, Lattice theory, Providence 1961, p. 71–77.

    Google Scholar 

  9. Hall, M., Jr.: The theory of groups. New York: Macmillan 1959.

    Google Scholar 

  10. Hilbert, D.: Grundlagen der Geometrie. 8 Aufl. Stuttgart: Teubner 1961.

    Google Scholar 

  11. Hjelmslev, J.: Die natürliche Geometrie. Hamburg. Math. Einzelschr. 1. Heft (1923).

  12. Inaba, E.: On primary lattices. J. Fac. Sci. Hokkaido Univ.11, 39–107 (1948).

    Google Scholar 

  13. Kleinfeld, E.: Finite Hjelmslev planes. Illinois J. Math.3, 403–407 (1959).

    Google Scholar 

  14. Klingenberg, W.: Projektive und affine Ebenen mit Nachbarelementen. Math. Zeitschr.60, 384–406 (1954).

    Google Scholar 

  15. —: Desarguessche Ebenen mit Nachbarelementen. Abh. Math. Sem. Hamburg20, 97–111 (1955).

    Google Scholar 

  16. —: Projektive Geometrien mit Homomorphismus. Math. Ann.132, 180–200 (1956).

    Google Scholar 

  17. Lüneburg, H.: Affine Hjelmslev-Ebenen mit transitiver Translationsgruppe. Math. Zeitschr.79, 260–288 (1962).

    Google Scholar 

  18. Neumann, J. von: Continuous geometry. Princeton: Princeton Univ. Press 1960.

    Google Scholar 

  19. Pickert, G.: Projektive Ebenen. Berlin-Göttingen-Heidelberg: Springer 1955.

    Google Scholar 

  20. Skornjakov, L. A.: Complemented modular lattices and regular rings. London: Oliver and Boyd 1964.

    Google Scholar 

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Diese Arbeit entstand während eines Aufenthaltes des Verfassers an der McMaster Universität in Hamilton, Ontario, Kanada.

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Artmann, B. Uniforme Hjelmslev-Ebenen und modulare Verbände. Math Z 111, 15–45 (1969). https://doi.org/10.1007/BF01110915

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  • DOI: https://doi.org/10.1007/BF01110915

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