The primal algebra characterization theorem revisited

1. Bergman, C. andMcKenzie, R.,Minimal varieties and quasivarieties. J. Austral. Math. Soc. (Ser. A)48 (1990), 133–147.

   Google Scholar 

2. Gumm, H. P.,Algebras in congruence permutable varieties: Geometrical properties of affine algebras. Algebra Universalis9 (1979), 8–34.

   Google Scholar 

3. Kaarli, K.,On varieties generated by functionally complete algebras, Algebra Universalis, to appear.

4. McKenzie, R.,On minimal, locally finite varieties with permuting congruence relations. Preprint, 1976.

5. McKenzie, R.,Finite forbidden lattices, in:Universal Algebra and Lattice Theory (Proc. Conf. Puebla, 1982), Lecture Notes in Math. 1004. Springer-Verlag, 1983; pp. 176–205.

6. McKenzie, R. andHobby, D.,The Structure of Finite Algebras (Tame Congruence Theory). Contemporary Mathematics, vol. 76. Amer. Math. Soc., Providence, R.I., 1988.

   Google Scholar 

7. Pixley, A. F.,Functionally complete algebras generating distributive and permutable classes. Math. Z.114 (1970), 361–372.

   Google Scholar 

8. Pixley, A. F.,The ternary discriminator function in universal algebra. Math. Ann.191 (1971), 167–180.

   Google Scholar 

9. Pixley, A. F.,Local Mal'cev conditions. Canad. Math. Bull.15 (1972), 559–568.

   Google Scholar 

10. Quackenbush, R. W.,Algebras with minimal spectrum. Algebra Universalis10 (1980), 117–129.

    Google Scholar 

11. Quackenbush, R. W.,A new proof of Rosenberg's primal algebra characterization theorem, in:Finite Algebra and Multiple-Valued Logic (Proc. Conf. Szeged, 1979). Colloq. Math. Soc. J. Bolyai, vol. 28. North-Holland, Amsterdam, 1981; pp. 603–634.

    Google Scholar 

12. Rosenberg, I. G.,Über die funktionale Vollständigkeit in den mehrwertigen Logiken (Struktur der Funktionen von mehreren Veränderlichen auf endlichen Mengen). Rozpravy Československe Akad. Věd Řada Mat. Přirod. Věd80 (1980), 9–93.

    Google Scholar 

13. Rosenberg, I. G.,Functional completeness of single generated or surjective algebras. in:Finite Algebra and Multiple-Valued Logic (Proc. Conf. Szeged, 1979). Colloq. Math. Soc. J. Bolyai, vol. 28. North-Holland, Amsterdam, 1981; pp. 635–652.

    Google Scholar 

14. Rosenberg, I. G.,Functionally complete algebras in congruence distributive varieties. Acta Sci. Math. (Szeged)43 (1981), 347–352.

    Google Scholar 

15. Rousseau, G.,Completeness infinite algebras with a single operation. Proc. Amer. Math. Soc.18 (1967), 1009–1013.

    Google Scholar 

16. Smith, J. D. H.,Mal'cev Varieties. Lecture Notes in Math. 554. Springer-Verlag, Berlin, 1976.

    Google Scholar 

17. Szendrei, Á.,Demi-primal algebras. Algebra Universalis18 (1984), 117–128.

    Google Scholar 

18. Szendrei, Á.,Demi-primal algebras with a single operation, in:Lectures in Universal Algebra (Proc. Conf. Szeged, 1983). Colloq. Math. Soc. J. Bolyai, vol. 43. North-Holland, Amsterdam, 1986; pp. 509–531.

    Google Scholar 

19. Szendrei, Á.,Clones in Universal Algebra. Séminaire de Mathématiques Supérieures, vol. 99. Les Presses de l'Université de Montréal, Montréal, 1986.

    Google Scholar 

20. Szendrei, Á.,Simple surjective algebras having no proper subalgebra. J. Austral. Math. Soc. (Ser. A)48 1990), 434–454.

    Google Scholar 

21. Taylor, W.,The fine spectrum of a variety. Algebra Universalis5 (1975), 262–303.

    Google Scholar 

22. Wille, R.,Kongruenzklassengeometrien. Lecture Notes in Math.113. Springer-Verlag, Berlin, 1970.

    Google Scholar 

Download references