R. P. Dilworth

Abstract residuation over lattices,Bulletin of the American Mathematical Society 44 (1938), 262–268.Google Scholar

(with Morgan Ward) Residuated lattices,Proceedings of the National Academy of Sciences 24 (1938), 162–164.Google Scholar

(with Morgan Ward) Residuated lattices,Transactions of the American Mathematical Society 45 (1939), 335–354.Google Scholar

Non-commutative residuated lattices,Transactions of the American Mathematical Society 46 (1939), 426–444.Google Scholar

Non-commutative arithmetic,Duke Mathematical Journal 5 (1939), 270–280.Google Scholar

R. P. Dilworth (with Morgan Ward) The lattice theory of ova,Annals of Mathematics 40 (1939), 600–608.Google Scholar

On complemented lattices,Tôhoku Mathematical Journal 47 (1940), 18–23.Google Scholar

Lattices with unique irreducible decompositions,Annals of Mathematics 41 (1940), 771–777.Google Scholar

Note on complemented modular lattices,Bulletin of the American Mathematical Society 46 (1940), 74–76.Google Scholar

The arithmetical theory of Birkhoff lattices,Duke Mathematical Journal 8 (1941), 286–299.Google Scholar

Ideals in Birkhoff lattices,Transactions of the American Mathematical Society 49 (1941), 325–353.Google Scholar

Dependence relations in a semi-modular lattice,Duke Mathematical Journal 11 (1944), 575–587.Google Scholar

(with Marshall Hall, Jr.) The imbedding problem for modular lattices,Annals of Mathematics 45 (1944), 450–456.Google Scholar

Lattices with unique complements,Transactions of the American Mathematical Society 57 (1945), 123–154.Google Scholar

Note on the Kurosch-Ore theorem,Bulletin of the American Mathematical Society 52 (1946), 659–663.Google Scholar

(with Morgan Ward) Note on a paper by C. E. Rickart,Bulletin of the American Mathematical Society 55 (1949), 1141.Google Scholar

Note on the strong law of large numbers,American Mathematical Monthly 54 (1949), 249–250.Google Scholar

A decomposition theorem for partially ordered sets,Annals of Mathematics 51 1950, 161–166.Google Scholar

The structure of relatively complemented lattices,Annals of Mathematics 51 (1950), 348–359.Google Scholar

The normal completion of the lattice of continuous functions,Transactions of the American Mathematical Society 68 (1950), 427–438.Google Scholar

(with Jack E. McLaughlin) Distributivity in lattices,Duke Mathematical Journal 19 (1952), 683–694.Google Scholar

Proof of a conjecture on finite modular lattices,Annals of Mathematics 60 (1954), 359–364.Google Scholar

(with Peter Crawley) Decomposition theory for lattices without chain conditions,Transactions of the American Mathematical Society 60 (1960), 1–22.Google Scholar

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

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

Abstract commutative ideal theory,Pacific Journal of Mathematics 12 (1962), 481–498.Google Scholar

(with Andrew M. Gleason) A generalized Cantor theorem,Proceedings of the American Mathematical Society 13 (1962), 704–705.Google Scholar

(with Curtis Greene) A counterexample to the generalization of Sperner theorem,Journal of Combinatorial Theory 10 (1971), 18–21.Google Scholar

(with Peter Crawley)Algebraic Theory of Lattices, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.Google Scholar

(with Ralph Freese) Generators of lattice varieties,Algebra Universalis 6 (1976), 263–267.Google Scholar

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

Aspects of distributivity,Algebra Universalis 18 (1984), 4–17.Google Scholar