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Finite free modular lattices FM(a+(Q+H))

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References

  1. Birkhoff, G.,On the combination of subalgebras, Proc. Cambridge Phil. Soc.29 (1933), 441–464.

    Google Scholar 

  2. Birkhoff, G.,Subdirect unions in universal algebras, Bull. Amer. Math. Soc.50 (1944), 764–768.

    Google Scholar 

  3. Birkhoff, G., Lattice theory, 3rd edn., Amer. Math. Soc. Publications, Vol. 25, Providence (1967).

  4. Crawley, P. andDilworth, R. P.,Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, N.J. 1973.

    Google Scholar 

  5. Dedekind, R.,Über die von drei Modulen erzeugte Dualgruppe, Math. Annalen53 (1900), 371–403.

    Google Scholar 

  6. Grätzer, G.,General Lattice Theory, Birkhäuser Verlag, Basel, Stuttgart 1978.

    Google Scholar 

  7. Herrmann, C.,On modular lattices generated by two complemented pairs, Houston Journal of Math.2, 4 (1976), 513–523.

    Google Scholar 

  8. Jónsson, B.,Arithmetic of Ordered Sets, I. Rival (ed.),Ordered Sets, D. Reidel Publ. Comp., Dordrecht, Boston 1982, pp. 3–41.

    Google Scholar 

  9. Luksch, P.,The Cardinality of FM(1+1+n), Order4 (1987), 15–30.

    Google Scholar 

  10. Luksch, P.,Distributive lattices freely generated by an ordered set of width two (in preparation).

  11. Schützenberger, M. P.,Construction du treillis modulaire engendré par deux éléments et une chaine finie discrète, C. R. Acad. Sci. Paris.235 (1952), 926–928.

    Google Scholar 

  12. Takeuchi, K.,On free modular lattices II, Tóhoku Math. J.11 (1959), 1–12.

    Google Scholar 

  13. Wille, R.,Über modulare Verbände, die von einer endlichen halbgeordneten Menge frei erzeugt werden, Math. Z.131 (1973), 241–249.

    Google Scholar 

  14. Wille, R.,On free modular lattices generated by finite chains, Algebra Universalis3,2 (1973), 131–138.

    Google Scholar 

  15. Wille, R.,Subdirekte Produkte vollständiger Verbände, Journal für die reine und angewandte Math., Band283/284 (1976), 53–70.

    Google Scholar 

  16. Wille, R.,Aspects aff inité lattices, M. Aigner (ed.),Higher Combinatoris, D. Reidel Publ. Comp., Dordrecht, Holland 1977, pp. 79–100.

    Google Scholar 

  17. Wille, R.,Complete tolerance relations of concept lattices, G. Eigenthaler, H. K. Kaiser, W. B. Müller, W. Nöbauer (eds.),Contributions to General Algebra, 3, Hölder-Pichler-Tempsky, Wien 1985, pp. 397–415.

    Google Scholar 

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Luksch, P. Finite free modular lattices FM(a+(Q+H)). Algebra Universalis 27, 351–361 (1990). https://doi.org/10.1007/BF01190714

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