PUBLICATIONS OF RALPH McKENZIE
118. (with K. Kearnes and P. Markovic) A note on Maltsev conditions for omitting type locally finite varieties, (in progress).
117. (with E. Aichinger, P. Mayr) On the number of algebraic structures, Journal of the European Mathematical Society (to appear).
116. (with P. Markovic, M. Maroti) Finitely related clones and algebras with cube-terms, Order, 29(2) (2012), 345-359.
115. (with P. Markovic) Few subpowers, congruence distributivity, and near-unanimity terms, Algebra Universalis 58 (2008), 119-128. [PDF]
114. (with J. Jezek) Definability in substructure orderings, IV: finite lattices, Algebra Universalis 61 (2009), 301-312. [PDF]
113. (with J. Jezek) Definability in substructure orderings, III: finite distributive lattices, Algebra Universalis 61 (2009), 283-300. [PDF]
112. (with J. Jezek) Definability in substructure orderings, II: finite ordered sets, Order 27 (2010), 115-145. [PDF]
111. (with J. Jezek) Definability in substructure orderings, I: finite semilattices, Algebra Universalis 61 (2009), 59-75. [PDF]
110. (with L. Barto, M. Kozik, M. Maróti and T. Niven) Congruence modularity implies cyclic terms for finite algebras, Algebra Universalis 61(3) (2009), 365-380. [PDF]
109. (with W. Dziobiak and J. Jezek) Avoidable structures, II: finite distributive lattices and nicely structured ordered sets, Algebra Universalis 60 (2009), 259-291. [PDF]
108. (with W. Dziobiak and J. Ježek) Avoidable structures, I: ordered sets, semilattices and lattices, Algebra Universalis 60 (2009), 247-258. [PDF]
107. (with P. Idziak, P. Markovíc, M. Valeriote, R. Willard) Tractability and learnability arising from algebras with few subpowers, SIAM J. Comp. (to appear)
106. (with P. Idziak, P. Markovíc, M. Valeriote, R. Willard) Tractability and learnability arising from algebras with few subpowers, Proceedings of the 22nd Annual IEEE Symposium on Logic in Computer Science, 221-230. [PDF]
105. (with J. Berman, P. Idziak, P. Markovíc, M. Valeriote, R. Willard) Varieties with few subalgebras of powers, Transactions AMS 362 (2009), 1145-1173. [PDF]
104. (with W. Dziobiak, M. Maroti, A. Nurakuno and R. Willard) The weak extension property and finite axiomatizability for quasivarieties, Fundamenta Mathematicae 202 (2009), 199-223. [PDF]
103. (with P.M. Idziak and M. Valeriote) The structure of locally finite varieties with polynomially many models, Journal of the American Mathematical Society 22, no. 1 (2009), 119--165. [PDF
102. (with B. Davey, M. Jackson and M. Maroti) Principal and syntactic congruences in congruence-distributive and congruence-permutable varieties, J. Austral. Math. Soc. 85 (2008), 59-74.
101. (with M. Maroti) Existence theorems for weakly symmetric operations, Algebra Universalis 59, 3-4 (2008), 463-489. [PDF]
100. (with P. Dapic, J. Ježek, P. Markovic and D. Stanovský) Star-linear equational theories of groupoids, Algebra Universalis 56 (3/4) 357--397. (2007),
99. (with D. Stanovský) Every quasigroup is isomorphic to a subdirectly irreducible quasigroup modulo its monolith, Acta Math. Sci. Szeged 72 (2006), 59--64.
98. (with K. Adaricheva, M. Maróti, J.B. Nation and E.R. Zenk) The Jónsson-Kiefer property, Studia Logica 83 (2006), 111--131.[PDF]
97. (with M. Jackson) Interpreting graph colourability in finite semigroups, International Journal of Algebra and Computation 16, No. 1 (2006), 119--140. [PDF]
96. (with John Snow) Congruence modular varieties: commutator theory and its uses, in: Structural Theory of Automata, Semigroups and Universal Algebra, Edited by V.B.Kudryavtsev and I. G. Rosenberg, NATO Science Series II: Mathematics, Physics and Chemistry -- Vol. 207, pp. 273--329, 2005, Springer.
95. (with J. Jezek and M. Maroti) Quasi-equational theories of flat algebras, Czech. Math. J. 55, No. 3 (2005), 665--675.
94. (with J. D. Monk) On some small cardinals for Boolean algebras, Journal of Symbolic Logic 69 (2004), 674--682.
93. (with M. Maroti) Finite basis problems and results for quasivarieties, Studia Logica 78 (2004), 293--320. [PDF]
92. The zig-zag property and exponential cancellation of ordered sets, Order 20 (2004), 185--221.[PDF]
91. Locally finite varieties with large free spectra, Algebra Universalis 47 (2002), 303--318.
90. (with R. Freese, J. Ježek, P. Jipsen, P. Markovic M. Maroti) The variety generated by order algebras, Algebra Universalis 47 (2002), 103--138.
89. Residual smallness relativized to congruence types, I, Journal of Pure and Applied Algebra 163 (2001), 209--220.
88. (with P. M. Idziak) Varieties with polynomially many models, Fundamenta Mathematicae 170 (2001), 53--68.
87. (with J. Jezek) The variety generated by equivalence algebras, Algebra Universalis 45 (2001), 211--219.
86. (with J. Wood) The type-set of a variety is not computable, International Journal of Algebra and Computation 11 (2001), 89--130.
85. (with M. Droste, D. Kuske, R. Pöschel) Complementary closed relational clones are not always Krasner clones, Algebra Universalis 45 (2001), 155--160.
84. Recursive inseparability for residual bounds of finite algebras, Journal of Symbolic Logic 65, no. 4 (2000), 1863--1880.
83. (with J. Jezek, P. Markovic and M. Maroti) Equations of tournaments are not finitely based, Discrete Mathematics 211 (2000), 243--248.
82. Arithmetic of finite ordered sets: cancellation of exponents, II, Order 17 (2000), 309--332.
81. Arithmetic of finite ordered sets: cancellation of exponents, I, Order 16 (1999), 313--333.
80. Review of five papers of B. Hart, A. Pillay, S. Starchenko and M. Valeriote in J. Symbolic Logic [when][about 1999].
79. (with J. Jezek, P. Markovic and M. Maroti) The variety generated by tournaments, Acta Univ. Carolinae, Math. et Phy. 40 (1999), 21--41.
78. (with K. Kaarli) Affine complete varieties are congruence distributive, Algebra Universalis 38 (1997), 329--354.
77. (with B.M. Schein) Every semigroup is isomorphic to a transitive semigroup of binary relations, Transactions Amer. Math. Soc. 349 (1997), 271--285.
76. An algebraic version of categorical equivalence for varieties and more general algebraic categories, in: Logic and Algebra (Proceedings of the Magari Conference, Siena), A. Ursini and P. Aglianó Eds., Marcel Dekker, New York, 1996.
75. Tarski's finite basis problem is undecidable, International Journal of Algebra and Computation 6 (1996), 49--104.
74. The residual bound of a finite algebra is not computable, International Journal of Algebra and Computation 6 (1996), 29--48.
73. The residual bounds of finite algebras, International Journal of Algebra and Computation 6 (1996), 1--28.
72. (with B. Davey and L. Heindorf) Near unanimity: an obstruction to general duality theory, Algebra Universalis 33 (1995), 428--439.
71. (with B. Davey, J. B. Nation and P. P. Palfy) Braids and their monotone clones, Algebra Universalis 32 (1994), 153--176.
70. On minimal simple lattices, Algebra Universalis 32 (1994), 63--103.
69. (Russian translation of 52). Mir, 1993. Yu. Ershov, V. Gorbunov Eds.
68. (with S. Swierczkowski) Non-covering in the interpretability lattice of equational theories, Algebra Universalis 30 (1993), 157--170.
67. On the covering relation in the interpretability lattice of equational theories, Algebra Universalis 30 (1993), 399--421.
66. (with J. Jezek) Definability in the lattice of equational theories of semigroups, I, Semigroup Forum 46 (1993), 199--245.
65. (with M. Valeriote). A characterization of decidable locally finite varieties, in: Proceedings of the International Conference on Algebra honoring A. Malcev. AMS Contemporary Mathematics Volume 131, 1992 (Part 3). pp. 169--185.
64. (with K. Kearnes) Commutator theory for relatively modular quasivarieties, Trans. Amer. Math. Soc. 331 (1992), 465--502.
63. (with J. Hyndman and W. Taylor) k-ary monoids of term operations, Semigroup Forum 44 (1992), 21--52.
62. (with S. Burris and M. Valeriote) Decidable discriminator varieties from unary varieties, Jour. Symbolic Logic 56 (1991), 1355--1368.
61. Congruence extension, Hamiltonian and Abelian properties in locally finite varieties, Algebra Universalis 28 (1991), 589--603.
60. Monotone clones, residual smallness and congruence distributivity, Bulletin of the Australian Math. Soc. 41 (1990), 283--300.
59. (with C. Bergman) Minimal varieties and quasivarieties, Journal of the Australian Math. Soc., Series A 48 (1990), 133--147.
58. (with W. Taylor) Interpretations of module varieties, Journal of Algebra 135 (1990), 456-493.
57. Interactions between group theory and the general theory of algebras, in: ``Groups--Canberra 1989'', Springer Lecture Notes in Mathematics, Volume 1456, 1990. pp. 32--48.
56. Residually small varieties revisited, in: Lattices, Semigroups and Universal Algebra (Proceedings of the Lisbon 1988 Conference). Plenum Press, 1990. pp. 185--190.
55. The Structure of Decidable Locally Finite Varieties (with M. Valeriote). Birkhauser, Progress in Mathematics, Volume 79. 1989.
54. (with M. Hèbert and G.E. Weaver) Two definability results in the equational context, Proc. Amer. Math. Soc. 107 (1989), 47--53.
53. (with C. Bergman) On the relationship of AP, RS, and CEP in congruence modular varieties, II, Proc. Amer. Math. Soc. 103 (1988), 335--343.
52. The structure of finite algebras (with D. Hobby), American Mathematical Society, Contemporary Mathematics, Volume 76. 1988.
51. Nilpotent and solvable radicals in locally finite congruence modular varieties, Algebra Universalis 24 (1987), 251--266.
50. Finite equational bases for congruence modular varieties, Algebra Universalis 24 (1987), 224--250.
49. Algebras, Lattices, Varieties, I (with G. McNulty and W. Taylor). Wadsworth--Brooks/Cole, Monterey, California, 1987.
48. Commutator Theory for Congruence Modular Varieties (with R. Freese). London Mathematical Society Lecture Note 125. 1987.
47. Alfred Tarski: Collected Papers (edited with S. R. Givant, in four volumes). Birkhäuser, Basel-Boston-Stuttgart, 1986.
46. The structure of finite algebras, in: Atti degli Incontri di Logica Matematica vol.2 [Siena] (1985). pp. 561--584.
45. Categorical quasivarieties revisited, Algebra Universalis 19 (1984), 273--303.
44. (with J. Berman) Clones satisfying the term condition, Discrete Math. 52 (1984), 7--29.
43. A new product of algebras and a type reduction theorem, Algebra Universalis 18 (1984), 29--69.
42. (with B. Koppelberg and D. Monk) Cardinality and cofinality of homomorphs of products of Boolean algebras, Algebra Universalis 19 (1984), 38--44.
41. A note on residually small varieties of semigroups, Algebra Universalis 17 (1983), 143--149.
40. Tame congruences, in: Colloquia Mathematica Societatis Janos Bolyai, 43. Universal Algebra. Szeged [Hungary], 1983. pp. 293--305.
39. The number of non-isomorphic models in quasi-varieties of semigroups, Algebra Universalis 16 (1983), 195--203.
38. Finite forbidden lattices, in: Springer Lecture Notes 1004 (1983). Proceedings of the 4th International Conference on Universal Algebra and Lattice Theory [Puebla, Mexico, 1982]. pp. 176--205.
37. (with D. Monk) Chains in Boolean algebras, Annals Math. Logic 22 (1982), 137--175.
36. Subdirect powers of non-Abelian groups, Houston J. Math. 8 (1982), 389--399.
35. (with J. Baldwin) Counting models in universal Horn classes, Algebra Universalis 15 (1982), 359--384.
34. Narrowness implies uniformity, Algebra Universalis 15 (1982), 67--85.
33. Residually small varieties of K-algebras, Algebra Universalis 14 (1982), 181--196.
32. (with B. Jónsson) Powers of partially ordered sets: cancellation and refinement properties, Math. Scand. 51 (1982), 87--120.
31. (with R. Quackenbush) The spectrum of a lattice-primal algebra, Discrete Math. 35 (1981), 157--163.
30. (with C. Tsinakis) On recovering a bounded distributive lattice from its endomorphism monoid, Houston J. Math. 7 (1981), 525--529.
29. Residually small varieties of semigroups, Algebra Universalis 13 (1981), 171--201.
28. (with S. Burris) Decidable varieties with modular congruence lattices, Bull. Amer. Math. Soc. 4 (1981), 350--352.
27. Decidability and Boolean Representations (with S. Burris). Memoirs AMS 32 (1981), number 246.
26. (with R. Freese) Residually small varieties with modular congruence lattices, Trans. Amer. Math. Soc. 264 (1981), 419--430.
25. (with A. Romanowska) Varieties of -distributive bisemilattices, in: Contributions to General Algebra, H. Kautschitsch, W.B. Muller, and W. Nobauer eds. Klagenfurt, Austria, 1979.
24. A finite algebra A with SP(A) not elementary, Algebra Universalis 8 (1978), 5--7.
23. Para primal varieties: a study of finite axiomatizability and definable principal congruences in locally finite varieties, Algebra Universalis 8 (1978), 336--348.
22. (with V. Faber and R. Laver) Coverings of groups by Abelian subgroups, Canad. J. Math. 30 (1978), 933--945.
21. (with C. Bergman and Zs. Nagy) How to cancel a linearly ordered exponent, in: Colloquia Mathematica Societatis Janos Bolyai, 29. Universal Algebra. Esztergom [Hungary], 1977. pp. 87--93.
20. Automorphism groups of denumerable Boolean algebras, Canad. J. Math. 29 (1977), 466--471.
19. On spectra, and the negative solution of the decision problem for identities having a finite nontrivial model, J. Symbolic Logic 40 (1975), 186--196.
18. (with S. Shelah) The cardinals of simple models for universal theories, in: Proceedings of the Tarski Symposium, 1971. Volume 25 of Symposia in Pure Mathematics, American Mathematical Society. Providence, 1974. pp. 53--74.
17. (with J. Baumgartner, F. Galvin and R. Laver) Game theoretic versions of partition relations, I, in: Colloquia Mathematica Societatis Janos Bolyai, 10. Infinite and Finite Sets. Keszthely [Hungary], 1973. pp. 131--135.
16. (with D. Monk) On automorphism groups of Boolean algebras, in: Colloquia Mathematica Societatis Janos Bolyai, 10. Infinite and Finite Sets. Keszthely [Hungary], 1973. pp. 951--988.
15. Some unsolved problems between lattice theory and equational logic, in: Proceedings of the University of Houston Lattice Theory Conference, 1973. pp. 564--573.
14. Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc. 174 (1972), 1--43.
13. (with R. J. Thompson) An elementary construction of unsolvable word problems in group theory, in: Proceedings of the Conference on Decision Problems in Group Theory, UC Irvine, 1969. North-Holland 1972. pp. 457--478.
12. A method for obtaining refinement theorems, with an application to direct products of semigroups, Algebra Universalis 2 (1972), 324--338.
11. (with J. Mycielski and D. Thompson) On Boolean functions and connected sets, Math. Systems Theory 5 (1971), 259--270.
10. Aleph-1 incompactness of Z,Colloq. Math. 23 (1971), 199--202.
9. Negative solution of the decision problem for sentences true in every subalgebra of <N,+>, J. Symbolic Logic 36 (1971), 607--609.
8. On semigroups whose proper subsemigroups have lesser power, Algebra Universalis 1 (1971), 21--25.
7. On elementary types of symmetric groups, Algebra Universalis 1 (1971), 13--20.
6. A note on subgroups of infinite symmetric groups, Indag. Math. 33 (1971), 53--58.
5. Definability in lattices of equational theories, Annals Math. Logic 3 (1971), 197--237.
4. Cardinal multiplication of structures with a reflexive relation, Fund. Math. 70 (1971), 59--101.
3. Equational bases for lattice theories, Math. Scand. 27 (1970), 24--38.
2. Representations of integral relation algebras, Mich. Math. J. 17 (1970), 279--287.
1. On finite groupoids and K-prime algebras, Trans. Amer. Math. Soc. 133 (1968), 115--129.
