Skip to main content
Log in

Homogeneous algebras are functionally complete

  • Published:
algebra universalis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. H. Clifford andG. B. Preston,The algebraic theory of semigroups,vol. 1, AMS, Providence, R.I., 1961.

    MATH  Google Scholar 

  2. E. Fried andA. F. Pixley,The dual discriminator function in universal algebra, Acta Sci. Math. 41 (1979), 83–100.

    MATH  MathSciNet  Google Scholar 

  3. B. Ganter, J. Płonka andH Werner,Homogeneous algebras are simple, Fund. Math.,79 (1973), 217–220.

    MATH  MathSciNet  Google Scholar 

  4. M. I. Gould andG. Grätzer,Boolean extensions and normal subdirect powers of finite universal algebras, Math. Z.,99 (1967), 16–25.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Grätzer andR. Padmanabhan,On idempotent, commutative, and nonassociative groupoids, Proc. Amer. Math. Soc.,28 (1971), 75–80.

    Article  MATH  MathSciNet  Google Scholar 

  6. S. V. Jablonskiî,Functional constructions in the k-valued logic (Russian), Trudy Mat. Inst. Steklov,51 (1958), 5–142.

    MathSciNet  Google Scholar 

  7. S. W. Jablonski, G. P. Gawrilow, W. B. Kudrjawzew,Boolesche Funktionen und Postsche Klassen, Akademie-Verlag, Berlin, 1970.

    MATH  Google Scholar 

  8. E. Marczewski,Homogeneous algebras and homogeneous operations, Fund. Math.,56 (1964), 81–103.

    MATH  MathSciNet  Google Scholar 

  9. R. McKenzie,On minimal, locally finite varieties with permuting congruence relations. (Preprint, 1976).

  10. J. Płonka, R-prime idempotent reducts of groups, Archiv der Math.,24 (1973), 129–132.

    Article  Google Scholar 

  11. R. W. Quackenbush,Some classes of idempotent functions and their compositions, Colloq. Math.,29 (1974), 71–81.

    MATH  MathSciNet  Google Scholar 

  12. I. G. Rosenberg,Completeness properties of multiple-valued logic algebras, inComputer science and multiple-valued logic, edited by D. C. Rine, North-Holland, Amsterdam (1977), 144–186.

    Google Scholar 

  13. A. Salomaa,Some completeness criteria for sets of functions over a finite domain I., Annales Univ. Turku., Ser. A,53 (1962), 3–10.

    MATH  MathSciNet  Google Scholar 

  14. J. Słupecki,Kryterium pełnosci wielowartosciowych systemow logiki zdan, C.r. des séances de la Soc. des Sci. et des Lettres de Varsovie., Cl. II.,32 (1939), 102–109.

    Google Scholar 

  15. S. Świerczkowski,Algebras which are independently generated by every n elements, Fund. Math.,49 (1960), 93–104.

    MathSciNet  Google Scholar 

  16. K. Urbanik,On algebraic operations in idempotent algebras, Colloq. Math.,13 (1965), 129–157.

    MATH  MathSciNet  Google Scholar 

  17. H. Werner,Eine Characterisierung funktional vollständiger Algebren, Archiv der Math.,21, (1970), 381–385.

    Article  MATH  Google Scholar 

  18. H. Werner,Algebraic representation and model theoretic properties of algebras with the ternary discriminator (TH Darmstadt, Preprint Nr. 237; 1975).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Csákány, B. Homogeneous algebras are functionally complete. Algebra Universalis 11, 149–158 (1980). https://doi.org/10.1007/BF02483093

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02483093

Keywords

Navigation