Bjarni Jónsson’s research publications

1. B. J?nsson, A. Tarski, Direct decompositions of finite algebraic systems, Notre Dame Math. Lectures 5, v+64 pp, 1947
2. B. J?nsson, A. Tarski, Cardinal products of isomorphism types, appendix in Cardinal Algebras, Oxford University Press, 1949
3. H. Federer, B. J?nsson, Some properties of free groups, Trans. Amer. Math. Soc. 68 (1), 1-27, 1950
4. B. J?nsson, A Boolean algebra without proper automorphisms, Proc. Amer. Math. Soc. 2 (5), 766-770, 1951
5a. B. J?nsson, A. Tarski, Boolean algebras with operators, Part I, American J. Math. 73 (4), 891-939, 1951
5b. B. J?nsson, A. Tarski, Boolean algebras with operators, Part II, American J. Math. 74 (1), 127-162, 1952
6. B. J?nsson, On the representation of lattices, Math. Scand. 1, 193-206, 1954
7. B. J?nsson, Modular lattices and Desargues’ theorem, Math. Scand. 2, 295-314, 1955
8. B. J?nsson, Distributive sublattices of a modular lattice, Proc. Amer. Math. Soc. 6 (5), 682-688, 1955
9. B. J?nsson, A unique decomposition theorem for relational addition, Appendix B of Tarski’s Ordinal Algebras, 99-125, 1956
10. B. J?nsson, Universal relational systems, Math. Scand. 4, 193-208, 1957
11. B. J?nsson, On isomorphism types of groups and other algebraic systems, Math. Scand. 5, 224-229, 1958
12. B. J?nsson, On direct decompositions of torsionfree abelian groups, Math. Scand. 5, 230-235, 1958
13. B. J?nsson, Representation of modular lattices and of relation algebras, Trans. Amer. Math. Soc. 92 (3), 449-464, 1959
14. B. J?nsson, Arguesian lattices of dimension n? 4, Math. Scand. 7, 133-145, 1959
15. B. J?nsson, Lattice-theoretic approach to projective and affine geometry, Stud. in Logic Found. of Math. 27, 188-203, 1959
16. B. J?nsson, On direct decomposition of torsion free Abelian groups, Math. Scand. 7, 361-371, 1960
17. B. J?nsson, Representations of complemented modular lattices, Trans. Amer. Math. Soc. 97 (1), 64-94, 1960
18. B. J?nsson, Homogeneous universal relational systems, Math. Scand. 8 (1), 137-142, 1960
19. B. J?nsson, Extensions of von Neumann?s coordinatization theorem, Proc. Symp. Pure Math. 2, 65-70, 1961
20. B. J?nsson, Sublattices of a free lattice, Canad. J. Math. 13, 256-264, 1961
21. F. Galvin, B. J?nsson, Distributive sublattices of a free lattice, Canad. J. Math. 13, 265-272, 1961
22. B. J?nsson, A. Tarski, On two properties of free algebras, Math. Scand. 9 (1a), 95-101, 1961
23. B. J?nsson, Defining relations for full semigroups of finite transformations, The Michigan Math. J. 9 (1), 77-85, 1962
24. B. J?nsson, Representations of relatively complemented modular lattices, Trans. Amer. Math. Soc. 103 (2), 272-303, 1962
25. B. J?nsson, J. E. Kiefer, Finite sublattices of a free lattice, Canad. J. Math. 14, 487-497, 1962
26. B. J?nsson, Arithmetic properties of freely ?-generated lattices, Canad. J. Math. 14, 476-481, 1962
27. B. J?nsson, Algebraic extensions of relational systems, Math. Scand. 11 (2), 179-205, 1963
28. P. Crawley, B. J?nsson, Direct decompositions of algebraic systems, Bull. Amer. Math. Soc. 69 (4), 541-547, 1963
29. P. Crawley, B. J?nsson, Refinements for infinite direct decompositions of algebraic systems, Pacific J. Math. 14 (3), 797-855, 1964
30. C. C. Chang, B. J?nsson, A. Tarski, Refinement properties for relational structures, Fund. Math. 55 (3), 249-281, 1964
31. B. J?nsson, Extensions of relational structures, The Theory of Models (Proc. 1963 Internat. Sympos. Berkeley) North-Holland, Amsterdam, 146-157, 1965
32. B. J?nsson, The unique factorization problem for finite relational structures, Colloq. Math. 14 (1), 1-32, 1966
33. B. J?nsson, Algebras whose congruence lattices are distributive, Math. Scand. 21, 110-121, 1968
34. B. J?nsson, Equational classes of lattices, Math. Scand. 22 (1), 187-196, 1969
35. B. J?nsson, Algebraic structures with prescribed automorphism groups, Colloq. Math. 19 (1), 1-4, 1968
36. B. J?nsson, P. Olin, Almost direct products and saturation, Compositio Math. 20, 125-132, 1968
37. B. J?nsson, On the residuation in the lattice of group varieties, Scientia Islandica, 14-15, 1968
38. B. J?nsson, G. S. Monk, Representations of primary Arguesian lattices, Pacific J. Math. 30 (1), 95-139, 1969
39. B. J?nsson, Relatively free lattices, Colloq. Math. 2 (21), 191-196, 1970
40. B. J?nsson, The class of Arguesian lattices is self-dual, Algebra Universalis 2 (1), 396-396, 1972
41. B. J?nsson, Relatively free products of lattices, Algebra Universalis 1 (1), 362-373, 1971
42. B. J?nsson, Topics in Universal Algebra, Lecture Notes in Math. 250, Springer Verlag, vi+220 pp, 1972
43. G. Gr?tzer, B. J?nsson, H. Lakser, The amalgamation property in equational classes of modular lattices, Pacific J. Math. 45 (2), 507-524, 1973
44. B. J?nsson, E. Nelson, Relatively free products in regular varieties, Algebra Universalis 4 (1), 14-19, 1974
45. B. J?nsson, T. Whaley, Congruence relations and multiplicity types of algebras, Pacific J. Math. 50 (2), 505-520, 1974
46. B. J?nsson, Some recent trends in general algebra, Proceedings of the Tarski Symposium at Berkeley 1971, Proc. Sympos. Pure Math. 25, Amer. Math. Soc. 1-19, 1974
47. B. J?nsson, Sums of finitely based lattice varieties, Advances in Math. 14 (4), 454-468, 1974
48. B. J?nsson, G. McNulty, R. Quackenbush, The ascending and descending varietal chains of a variety, Canad. J. Math. 27, 25-32, 1975
49. B. J?nsson, Varieties of algebras and their congruence varieties, Proc. of the Internat. Congress of Math. (Vancouver, 1974) 1, 315-320, 1975
50. B. J?nsson, P. Olin, Elementary equivalence and relatively free products of lattices, Algebra Universalis 6 (1), 313-325, 1976
51. R. Freese, B. J?nsson, Congruence modularity implies the Arguesian identity, Algebra Universalis 6 (1), 225-228, 1976
52. B. J?nsson, Identities in congruence varieties, Lattice theory (Szeged 1974), Colloq. Math. Soc. J?nos Bolyai 14, 195-205, 1976
53. B. J?nsson, J. B. Nation, A report on sublattices of a free lattice, Contributions to Universal Algebra (Szeged 1975), Colloq. Math. Soc. J?nos Bolyai 17, 223-257, 1977
54. B. J?nsson, The variety covering the variety of all modular lattices, Math. Scand. 41 (1), 5-14, 1978
55. B. J?nsson, I. Rival, Critical edges in subdirectly irreducible lattices, Proc. Amer. Math. Soc. 66 (2), 194-196, 1977
56. B. J?nsson, I. Rival, Lattice varieties covering the smallest nonmodular variety, Pacific J. Math. 82 (2), 463-478, 1979
57. B. J?nsson, On finitely based varieties of algebras, Colloq. Math. 42 (1), 255-261, 1979
58. D. Duffus, B. J?nsson, I. Rival, Structure results for function lattices, Canad. J. Math. 30 (2), 392-400, 1978
60. B. J?nsson, Congruence varieties, Algebra Universalis 10 (1), 355-394, 1980
61. B. J?nsson, Varieties of lattices: Some open problems, Colloq. Math. Soc. J?nos Bolyai 29, 421-436, 1982
62. B. J?nsson, R. McKenzie, Powers of partially ordered sets: Cancellation and refinement properties, Math. Scand. 51 (1), 87-120, 1982
63. B. J?nsson, Powers of partially ordered sets: the automorphism group, Math. Scand. 51 (1), 121-141, 1982
64. B. J?nsson, Arithmetic of ordered sets, Ordered sets (Banff 1981),?NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 83, Reidel, 3-41, 1982
65. B. J?nsson, Varieties of relation algebras, Algebra Universalis 15 (1), 273-298, 1982
66. B. J?nsson, Maximal algebras of binary relations, Contemp. Math. 33, 299-307, 1984
67. B. J?nsson, Amalgamation of pure embeddings, Algebra Universalis 19 (2), 266-268, 1984
68. A.Day, B. J?nsson, The structure of non-Arguesian lattices, Bull. Amer. Math. Soc. 13 (2), 157-159, 1985
69. B. J?nsson, Arguesian lattices, Proc. 19th Nordic Congress of Mathematicians, Reykjavik 1985, 78-108, 1984
70. A. Day, B. J?nsson, A structural characterization of non-Arguesian lattices, Order 2 (4), 335-350, 1985
71. B. J?nsson, The contributions of Alfred Tarski to general algebra, J. Symbolic Logic 51 (4), 883-889, 1986
72. B. J?nsson, J. B. Nation, Representation of 2-distributive modular lattices of finite length, Acta Sci. Math. 51 (1-2), 123-128, 1987
73. A. Day, B. J?nsson, Non-Arguesian configurations in a modular lattice, Acta Sci. Math. 51 (3-4), 309-318, 1987
74. B. J?nsson, Relation algebras and Schr?der categories, Discrete Math. 70 (1), 27-45, 1988
75. B. J?nsson, The theory of binary relations, Algebraic logic (Budapest 1988) Colloq. Math. Soc. J?nos Bolyai 54, North-Holland, Amsterdam, 245-292, 1991
76. A. Day, B. J?nsson, Non-Arguesian configurations and gluings of modular lattices, Algebra Universalis 26 (2), 208-215, 1989
77. H. Andr?ka, B. J?nsson, I. N?meti, Relatively free relation algebras, Algebraic Logic and Universal Algebra in Computer Science (Ames, IA, 1988), Lecture Notes in Comput. Sci. 425, 1-14, 1990
78. B. J?nsson, Dilworth?s work on decompositions in semimodular lattices, The Dilworth Theorems, Contemp. Math., Birkh?user, 187-191, 1990
79. B. J?nsson, Amalgamation in small varieties of lattices, J. Pure Appl. Algebra 68 (1-2), 195-208, 1990
80. H. Andr?ka, B. J?nsson, I. N?meti, Free algebras in discriminator varieties, Algebra Universalis 28 (3), 401-447, 1991
81. B. J?nsson, A survey of Boolean algebras with operators, Algebras and Orders (Montreal 1991), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 389, Kluwer, 239-286, 1993
82. B. J?nsson, C Tsinakis, Relation algebras as residuated Boolean algebras, Algebra Universalis 30 (4), 469-478, 1993
83. A. Day, C. Herrmann, B. J?nsson, J. B. Nation, D. Pickering, Small non-Arguesian lattices, Algebra Universalis 31 (1), 66-94, 1994
84. B. J?nsson, On the canonicity of Sahlqvist identities, Studia Logica 53 (4), 473-491, 1994
85. M. Gehrke, B. J?nsson, Bounded distributive lattices with operators, Math. Japon. 40 (2), 207-215, 1994
86. P. Jipsen, B. J?nsson, J. Rafter, Adjoining units to residuated Boolean algebras, Algebra Universalis 34 (1), 118-127, 1995
87. B. J?nsson, Congruence distributive varieties, Math. Japon. 42 (2), 353-401, 1995
88. B. J?nsson, The preservation theorem for canonical extensions of Boolean algebras with operators, Lattice theory and its applications (Darmstadt 1991), Res. Exp. Math. 23, Heldermann, 121-130, 1995
89. M. Gehrke, B. J?nsson, Monotone bounded distributive lattice expansions, Math. Japon. 52 (2), 197-213, 2000
90. M. Gehrke, B. J?nsson, Bounded distributive lattice expansions, Math. Scand. 94 (1), 13-45, 2004
91. B. J?nsson, C. Tsinakis, Products of classes of residuated structures, Studia Logica 77 (2), 267-292, 2004
92. W. J. Blok, B. J?nsson, Equivalence of consequence operations, Studia Logica 83 (1), 91-110, 2006