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Latticoids defined with generalized suprema and infima

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References

  1. Gratzer, George,Lattice Theory. W. H. Freeman and Company, San Francisco, 1971.

    Google Scholar 

  2. Klein-Barmen, Fritz, “Uber ein (max, min)-Theorem in der Protovorbande und Dreigespanne.”Journal fur die Reine und angewandte Mathematik, v. 205 (1960/61), pp. 107–12.

    Google Scholar 

  3. Kroger, Henner, “Zweich-Assoziativitat und verbandsahnliche Algebren.” itMunich Mathematisch-Naturwissenschaftliche, Klasse Abt II 1973 Kl. S-P 1974, pp. 23–48.

  4. Menger, Karl, “New Foundations of Projective and Affine Geometry.”Annals of Mathematics, v. 37, No. 2 April 1936, pp. 456–82.

    Google Scholar 

  5. Sain, B. M., “Pseudosemilattices and Pseudolattices.” (in Russian)Izvestiia Vysshikh Ughebnyku Zavedenu Matematika, No. 2, v. 117 (1972), pp. 81–94.

    Google Scholar 

  6. Skala, H. L., “Trellis Theory.”Algebra Universalis, 1 (1971/72), pp. 218–33.

    Google Scholar 

  7. Sobocinski, Boleslaw, “The Axioms for Latticoids and their Associative Extentions.”Notre Dame Journal of Formal Logic, v. XVII, No. 4, Oct. 1976, pp. 625–31.

    Google Scholar 

  8. Sobocinski, Boleslaw, “The Modular Latticoids.”Notre Dame Journal of Formal Logic, v. XVII, No. 4, Octo. 1976, pp. 617–21.

    Google Scholar 

  9. Fried, E. andGratzer, G., “Some Examples of Weakly Associative Lattices.”Colloquim Mathematicum, v. XXVII, Fasc. 2, 1973, pp. 215–21.

    Google Scholar 

  10. Rine, David C. (ed.),Computer Science and Multiple-Valued Logic. North Holland Publishing Company, Amsterdam, 1977.

    Google Scholar 

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Anderson, P.H. Latticoids defined with generalized suprema and infima. Algebra Universalis 16, 304–311 (1983). https://doi.org/10.1007/BF01191784

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  • DOI: https://doi.org/10.1007/BF01191784

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