Order

, Volume 12, Issue 1, pp 1–4 | Cite as

R. P. Dilworth

  • Kenneth P. Bogart
Obituary
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Publications

  1. 1.
    Abstract residuation over lattices,Bulletin of the American Mathematical Society 44 (1938), 262–268.Google Scholar
  2. 2.
    (with Morgan Ward) Residuated lattices,Proceedings of the National Academy of Sciences 24 (1938), 162–164.Google Scholar
  3. 3.
    (with Morgan Ward) Residuated lattices,Transactions of the American Mathematical Society 45 (1939), 335–354.Google Scholar
  4. 4.
    Non-commutative residuated lattices,Transactions of the American Mathematical Society 46 (1939), 426–444.Google Scholar
  5. 5.
    Non-commutative arithmetic,Duke Mathematical Journal 5 (1939), 270–280.Google Scholar
  6. 6.
    R. P. Dilworth (with Morgan Ward) The lattice theory of ova,Annals of Mathematics 40 (1939), 600–608.Google Scholar
  7. 7.
    On complemented lattices,Tôhoku Mathematical Journal 47 (1940), 18–23.Google Scholar
  8. 8.
    Lattices with unique irreducible decompositions,Annals of Mathematics 41 (1940), 771–777.Google Scholar
  9. 9.
    Note on complemented modular lattices,Bulletin of the American Mathematical Society 46 (1940), 74–76.Google Scholar
  10. 10.
    The arithmetical theory of Birkhoff lattices,Duke Mathematical Journal 8 (1941), 286–299.Google Scholar
  11. 11.
    Ideals in Birkhoff lattices,Transactions of the American Mathematical Society 49 (1941), 325–353.Google Scholar
  12. 12.
    Dependence relations in a semi-modular lattice,Duke Mathematical Journal 11 (1944), 575–587.Google Scholar
  13. 13.
    (with Marshall Hall, Jr.) The imbedding problem for modular lattices,Annals of Mathematics 45 (1944), 450–456.Google Scholar
  14. 14.
    Lattices with unique complements,Transactions of the American Mathematical Society 57 (1945), 123–154.Google Scholar
  15. 15.
    Note on the Kurosch-Ore theorem,Bulletin of the American Mathematical Society 52 (1946), 659–663.Google Scholar
  16. 16.
    (with Morgan Ward) Note on a paper by C. E. Rickart,Bulletin of the American Mathematical Society 55 (1949), 1141.Google Scholar
  17. 17.
    Note on the strong law of large numbers,American Mathematical Monthly 54 (1949), 249–250.Google Scholar
  18. 18.
    A decomposition theorem for partially ordered sets,Annals of Mathematics 51 1950, 161–166.Google Scholar
  19. 19.
    The structure of relatively complemented lattices,Annals of Mathematics 51 (1950), 348–359.Google Scholar
  20. 20.
    The normal completion of the lattice of continuous functions,Transactions of the American Mathematical Society 68 (1950), 427–438.Google Scholar
  21. 21.
    (with Jack E. McLaughlin) Distributivity in lattices,Duke Mathematical Journal 19 (1952), 683–694.Google Scholar
  22. 22.
    Proof of a conjecture on finite modular lattices,Annals of Mathematics 60 (1954), 359–364.Google Scholar
  23. 23.
    (with Peter Crawley) Decomposition theory for lattices without chain conditions,Transactions of the American Mathematical Society 60 (1960), 1–22.Google Scholar
  24. 24.
    Some combinatorial problems on partially ordered sets, in R. Bellman and M. Hall, Jr. (eds),Combinatorial Analysis (Proceeding of the Tenth Symposium in Applied Mathematics, Columbia University, 1958), American Mathematical Society, Providence, Rhode Island, 1960, pp. 85–90.Google Scholar
  25. 25.
    Structure and decomposition theory of lattices, in R. P. Dilworth (ed.),Lattice Theory (Proceedings of Symposia in Pure Mathematics, Vol. 2), American Mathematical Society, Providence, Rhode Island, 1961, pp. 3–16.Google Scholar
  26. 26.
    Abstract commutative ideal theory,Pacific Journal of Mathematics 12 (1962), 481–498.Google Scholar
  27. 27.
    (with Andrew M. Gleason) A generalized Cantor theorem,Proceedings of the American Mathematical Society 13 (1962), 704–705.Google Scholar
  28. 28.
    (with Curtis Greene) A counterexample to the generalization of Sperner theorem,Journal of Combinatorial Theory 10 (1971), 18–21.Google Scholar
  29. 29.
    (with Peter Crawley)Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.Google Scholar
  30. 30.
    (with Ralph Freese) Generators of lattice varieties,Algebra Universalis 6 (1976), 263–267.Google Scholar
  31. 31.
    The role of order in lattice theory, in I. Rival (ed.),Ordered Sets (Proceedings, NATO Advanced Study Institute, Banff, Alberta, 1981), Reidel, Dordrecht and Boston, 1982, pp. 333–353.Google Scholar
  32. 32.
    Aspects of distributivity,Algebra Universalis 18 (1984), 4–17.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Kenneth P. Bogart
    • 1
  1. 1.Math. & Computer Science Dept.Dartmouth CollegeHanoverUSA

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