Publications of James B. Nation


You can also email me for a hard copy at jb@math.hawaii.edu.


  1. M. Fossorier, J. B. Nation and W. W. Peterson, A note on the optimality of variant-I permutation modulation codes, IEEE Trans. Information Theory 53 (2007), 2878--2879.

  2. K. V. Adaricheva and J. B. Nation, Lattices of quasivarieties as congruence lattices of semilattices with operators, preprint.

  3. Keith Kearnes and J. B. Nation, Axiomatizable and nonaxiomatizable congruence prevarieties, to appear.

  4. J. B. Nation and J. Seffrood, Dual linear spaces generated by a non-Desarguesian configuration, submitted for publication.

  5. K. V. Adaricheva, M. Maroti, R. McKenzie, J. B. Nation and E. Zenk, The Jonsson-Kiefer Property, Studia Logica 83 (2006), 111--131.

  6. Ralph Freese, George McNulty and J. B. Nation, A modular inherently nonfinitely based lattice, Algebra Universalis 55 (2006), 119--125.

  7. K. V. Adaricheva and J. B. Nation, Reflections on lower bounded lattices, Algebra Universalis 53 (2005), 307--330.

  8. J. B. Nation, Closure operators and lattice extensions, Order 21 (2004), 43--48.

  9. K. V. Adaricheva and J. B. Nation, Largest extension of a finite convex geometry, Algebra Universalis 52 (2004), 185--195.

  10. Marc Fossorier, Jaroslav Jezek, J. B. Nation and Alex Pogel, Ordinary graphs and subplane decompositions, Discrete Math 282 (2004), 137--148.

  11. J. B. Nation, Formal descriptions of developing systems: an overview, in Formal Descriptions of Developing Systems, edited by I. Trofimova, W. Sulis, J. Rand and J. Nation, Kluwer Academic Press (2003), 1--7.

  12. Ralph Freese, Jennifer Hyndman and J. B. Nation, Whaley's Theorem for finite lattices, Order 20 (2003), 223--228.

  13. Ralph Freese, George McNulty and J. B. Nation, Inherently nonfinitely based lattice varieties, Annals of Pure and Applied Logic 115 (2002), 175--193.

  14. Ralph Freese, J. Jezek, and J. B. Nation, Lattices with large minimal extensions, Algebra Universalis 45 (2001), 221--309.

  15. J. B. Nation, Unbounded semidistributive lattices, (Russian) Algebra and Logic 39 (2000), 87--92.

  16. W. E. Longstaff, and J. B. Nation, and Oreste Panaia, Abstract reflexive lattices and completely distributive collapsibility, Bull. Austral. Math. Soc. 58 (1998), 245--260.

  17. J. B. Nation, and Alex Pogel, The lattice of completions of an ordered set, Order 14 (1997), no. 1, 1--7, 06A23, 06A15.

  18. M. E. Adams, and R. Freese, and J. B. Nation, and J. Schmid, Maximal sublattices and Frattini sublattices of bounded lattices, J. Austral. Math. Soc. (Series A) 63 (1997), 110--127, 06B05, 06B20.

  19. J. B. Nation, A counterexample to the finite height conjecture. Order 13 (1996), no. 1, 1--9, 06B20, 08B15.

  20. Ralph Freese, and Keith Kearnes, and J. B. Nation, Congruence lattices of congruence semidistributive algebras. Lattice theory and its applications (Darmstadt, 1991), 63--78, Res. Exp. Math., 23, Heldermann, Lemgo, 1995. 06B10 (08B10).

  21. J. B. Nation, Alan Day's doubling construction. Algebra Universalis 34 (1995), no. 1, 24--34, 06-xx.

  22. Ralph Freese, and Jaroslav Jezek, and J. B. Nation, Free lattices. Mathematical Surveys and Monographs, 42. American Mathematical Society, Providence, RI, 1995. viii+293 pp. ISBN: 0-8218-0389-1 MR 96c:06013 (Reviewer: T. S. Blyth) 06B25 (06-02 06-04 06B20 68Q25).

  23. B. A. Davey, and J. B. Nation, and R. N. McKenzie, and P. P. Pálfy, Braids and their monotone clones. Algebra Universalis 32 (1994), no. 2, 153--176, MR 95i:08005 (Reviewer: Joel Berman) 08A40 (06A06 08B05).

  24. J. B. Nation, Jónsson's contributions to lattice theory. Algebra Universalis 31 (1994), no. 3, 430--445, MR 95c:06001 (Reviewer: G. Georgescu) 06-02 (01A70 06B05 06B15 06Cxx).

  25. J. B. Nation, Addendum: "Congruence normality: the characterization of the doubling class of convex sets" [Algebra Universalis {\bf 31} (1994), no. 3, 397--406, MR 95a:06007] by A. Day. Algebra Universalis 31 (1994), no. 3, 407--410, MR 95a:06008 (Reviewer: Jaroslav Jezek) 06B05.

  26. Alan Day, and Christian Herrmann, and Bjarni Jónsson, and J. B. Nation, and Doug Pickering, Small non-Arguesian lattices. Algebra Universalis 31 (1994), no. 1, 66--94, MR 94i:06008 (Reviewer: George Hutchinson) 06C05.

  27. Ralph Freese, and J. Jezek, and J. B. Nation, Term rewrite systems for lattice theory. J. Symbolic Comput. 16 (1993), no. 3, 279--288, 68Q42 (03C05 06-04).

  28. Alan Day, and J. B. Nation, Congruence normal covers of finitely generated lattice varieties. Canad. Math. Bull. 35 (1992), no. 3, 311--320, MR 93h:06006 (Reviewer: M. E. Adams) 06B20 (08B15).

  29. J. B. Nation, An approach to lattice varieties of finite height. Algebra Universalis 27 (1990), no. 4, 521--543, 06B20.

  30. J. B. Nation, and J. H. Schmerl, The order dimension of relatively free lattices. Order 7 (1990), no. 1, 97--99, MR 92b:06023 (Reviewer: Joel Berman) 06B25.

  31. J. B. Nation, Ideal and filter constructions in lattice varieties. The Dilworth theorems, 451--453, Contemp. Mathematicians, Birkhäuser Boston, Boston, MA, 1990. 06B20

  32. Alan Day, and J. B. Nation, and Steve Tschantz, Doubling convex sets in lattices and a generalized semidistributivity condition. Order 6 (1989), no. 2, 175--180, MR 91f:06007 (Reviewer: I. Gy. Maurer) 06B20 (08B05).

  33. P. Agliano, and J. B. Nation, Lattices of pseudovarieties. J. Austral. Math. Soc. Ser. A 46 (1989), no. 2, 177--183, MR 89i:08013 (Reviewer: Sheila Oates-Williams) 08C99 (08B15).

  34. J. B. Nation, and D. Pickering, and J. Schmerl, Dimension may exceed width. Order 5 (1988), no. 1, 21--22, MR 89g:06008 (Reviewer: E. C. Milner) 06A10.

  35. J. B. Nation, and D. Pickering, and J. Schmerl, Corrigendum: "Dimension may exceed width", no. 1, 21--22, MR 89g:06008]. Order 6 (1989), no. 2, 203.06A10.

  36. James B. Nation, and Douglas A. Pickering, Arguesian lattices whose skeleton is a chain. Algebra Universalis 24 (1987), no. 1-2, 91--100, MR 89c:06010 (Reviewer: Christian Herrmann) 06C05.

  37. Bjarni Jónsson, and J. B. Nation, Representation of $2$-distributive modular lattices of finite length. Acta Sci. Math. (Szeged) 51 (1987), no. 1-2, 123--128, MR 88k:06002 (Reviewer: George Hutchinson) 06C05.

  38. J. B. Nation, Lattice varieties covering $V(L_1)$. Algebra Universalis 23 (1986), no. 2, 132--166, MR 88g:06009 (Reviewer: Ralph Freese) 06B20.

  39. Ralph Freese, and J. B. Nation, and J. Jezek, and V. Slavík, Singular covers in free lattices. Order 3 (1986), no. 1, 39--46, MR 87i:06020 (Reviewer: E. T. Schmidt) 06B25.

  40. J. B. Nation, Some varieties of semidistributive lattices. Universal algebra and lattice theory (Charleston, S.C., 1984), 198--223, Lecture Notes in Math., 1149, Springer, Berlin-New York, 1985. MR 87d:06026 (Reviewer: Sheila Oates-Williams) 06B20 (08B15).

  41. Ralph Freese, and J. B. Nation, Covers in free lattices. Trans. Amer. Math. Soc. 288 (1985), no. 1, 1--42, MR 86f:06016 (Reviewer: Joel Berman) 06B25.

  42. J. B. Nation, On partially ordered sets embeddable in a free lattice. Algebra Universalis 18 (1984), no. 3, 327--333, MR 85h:06019 (Reviewer: R. J. Bumcrot) 06B25 (06A10).

  43. Alan Day, and J. B. Nation, A note on finite sublattices of free lattices. Algebra Universalis 15 (1982), no. 1, 90--94, MR 83k:06011 (Reviewer: Brian A. Davey) 06B25.

  44. J. B. Nation, Bounded finite lattices. Universal algebra (Esztergom, 1977), pp. 531--533, Colloq. Math. Soc. János Bolyai, 29, North-Holland, Amsterdam-New York, 1982. 06B05.

  45. J. B. Nation, Finite sublattices of a free lattice. Trans. Amer. Math. Soc. 269 (1982), no. 1, 311--337, MR 83b:06008 (Reviewer: T. S. Blyth) 06B25 (08B20).

  46. H. S. Gaskill, and J. B. Nation, Join-prime elements in semidistributive lattices. Algebra Universalis 12 (1981), no. 3, 352--359, MR 82j:06015 (Reviewer: T. S. Blyth) 06B15.

  47. Ralph Freese, and J. B. Nation, Finitely presented lattices. Proc. Amer. Math. Soc. 77 (1979), no. 2, 174--178, MR 81a:06008 (Reviewer: M. E. Adams) 06B25 (03B25 06B05).

  48. L. J. Schaad, and B. Andes Hess, Jr., and J. B. Nation, and N. Trinajstic, On the reference structure for the resonance energy of aromatic hydrocarbons. Croatica Chemica Acta. 52 (1979), no. 3, 233--248.

  49. Ralph Freese, and J. B. Nation, Projective lattices. Pacific J. Math. 75 (1978), no. 1, 93--106, MR 80c:06012 (Reviewer: G. Grätzer) 06B25.

  50. B. Jónsson, and J. B. Nation, A report on sublattices of a free lattice. Contributions to universal algebra (Colloq., József Attila Univ., Szeged, 1975), pp. 223--257, Colloq. Math. Soc. Janos Bolyai, Vol. 17, North-Holland, Amsterdam, 1977. MR 57 #12310 (Reviewer: Ralph Freese) 06A20.

  51. Ralph Freese, and J. B. Nation, $3-3$ lattice inclusions imply congruence modularity. Algebra Universalis 7 (1977), no. 2, 191--194, MR 55 #7870 (Reviewer: Ann Miller) 06A30.

  52. J. B. Nation, Extending partial lattices within a variety. Algebra Universalis 6 (1976), no. 1, 87--90, MR 53 #2772 (Reviewer: A. A. Iskander) 06A20 (08A15).

  53. Joseph Hyman, and J. B. Nation, Automorphisms of $1$-unary algebras. II. Algebra Universalis 4 (1974), 127--131, MR 51 #5454 (Reviewer: S. Comer) 08A25.

  54. J. B. Nation, Congruence lattices of relatively free unary algebras. Algebra Universalis 4 (1974), 132. MR 50 #12873 (Reviewer: V. Cazanescu) 08A25.

  55. J. B. Nation, Varieties whose congruences satisfy certain lattice identities. Algebra Universalis 4 (1974), 78--88, MR 50 #6979 (Reviewer: E. T. Schmidt) 08A15 (06A35).

  56. Ralph Freese, and J. B. Nation, Congruence lattices of semilattices. Pacific J. Math. 49 (1973), 51--58, MR 48 #10916 (Reviewer: E. T. Schmidt) 06A20.