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The Kurosh-Ore exchange property

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References

  1. P. Crawley, Decomposition theory for nonsemimodular lattices,Trans. Amer. Math. Soc.,99 (1961), 246–254.

    Google Scholar 

  2. P. Crawley, R. P. Dilworth,Algebraic theory of lattices, Prentice-Hall (1973).

  3. P. H. Edelman, Meet-distributive lattices and the antiexchange closure,Alg. Universalis,10 (1980), 290–299.

    Google Scholar 

  4. P. H. Edelman, R. E. Jamison,The theory of convex geometries. Preliminary version of a survey article (1984).

  5. U., Faigle, Geometries on partially ordered sets,Journal of combinatorial theory,28 (1980), 26–51.

    Google Scholar 

  6. G. Grätzer,General lattice theory, Birkhäuser Verlag (1978).

  7. C. Hermann,S-verklebte Summen von Verbänden,Math. Z.,130 (1973), 255–274.

    Google Scholar 

  8. J. P. S. Kung, Matchings and Radon transforms in lattices. I. Consistent lattices,Order 2 (1985), 105–112.

    Google Scholar 

  9. J. P. S. Kung, Radon transforms in combinatorics and lattice theory. To appear in: I. Rival (ed.),Combinatorics and Ordered Sets, Contemporary Math., Amer. Math. Soc., Providence, Rhode Island (1985).

    Google Scholar 

  10. J. P. S. Kung, Private communication.

  11. H. Mehrtens, Die Entstehung der Verbandstheorie. arbor scientiarum. Beiträge zur Wissenschaftsgeschichte, Reihe A Abhandlungen, Gerstenberg Verlag Hildesheim (1979).

    Google Scholar 

  12. K. Reuter, Matching for linearly indecomposable modular lattices,Discr. Math. 63 (1987), 245–247.

    Google Scholar 

  13. R. Wille, Complete tolerance relations of concept analysis. Contributions to general algebra 3. Proc. of the Vienna Conf. June 21–24, 1984, 397–415.

  14. R. Wille, Subdirect decomposition of concept lattices,Alg. Universalis,17 (1983), 275–287.

    Google Scholar 

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  1. Technische Hochschule Darmstadt, FB4, AG1, Schlossgartenstr. 7, D-6100, Darmstadt

    K. Reuter

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  1. K. Reuter
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Reuter, K. The Kurosh-Ore exchange property. Acta Math Hung 53, 119–127 (1989). https://doi.org/10.1007/BF02170062

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