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On the postulates for lattices

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References

  1. Jordan, P.: Die Theorie der Schrägverbände. Abh. Math. Sem. Univ. Hamburg21, 127–138 (1957).

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  2. Kalman, J. A.: Absorption laws relating two binary associative operations. Bull. Amer. math. Soc.62, 403 (1956).

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  3. Schmidt, J.: Einige grundlegende Begriffe und Sätze aus der Theorie der Hüllenoperatoren. Bericht über die Mathematiker-Tagung in Berlin, Januar 1953, S. 21–48.

  4. Sorkin, Yu. I.: Independent systems of axioms defining a lattice. Ukrain. mat. Ž.3, 85–97 (1951) (russ.).

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Authors and Affiliations

  1. University of Auckland, New Zealand

    J. A. Kalman

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  1. J. A. Kalman
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Some of the results in this paper were presented to the American Mathematical Society on April 28, 1956. Part of the work in § 2 is taken from the author's Ph. D. thesis (Harvard University, 1955); the author thanks ProfessorG. Birkhoff for valuable advice. Most of the research for the paper was supported by the University of New Zealand Research Fund.

University of Auckland, New Zealand.

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Kalman, J.A. On the postulates for lattices. Math. Ann. 137, 362–370 (1959). https://doi.org/10.1007/BF01360971

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