References
A. H. Clifford andG. B. Preston,The algebraic theory of semigroups,vol. 1, AMS, Providence, R.I., 1961.
E. Fried andA. F. Pixley,The dual discriminator function in universal algebra, Acta Sci. Math. 41 (1979), 83–100.
B. Ganter, J. Płonka andH Werner,Homogeneous algebras are simple, Fund. Math.,79 (1973), 217–220.
M. I. Gould andG. Grätzer,Boolean extensions and normal subdirect powers of finite universal algebras, Math. Z.,99 (1967), 16–25.
G. Grätzer andR. Padmanabhan,On idempotent, commutative, and nonassociative groupoids, Proc. Amer. Math. Soc.,28 (1971), 75–80.
S. V. Jablonskiî,Functional constructions in the k-valued logic (Russian), Trudy Mat. Inst. Steklov,51 (1958), 5–142.
S. W. Jablonski, G. P. Gawrilow, W. B. Kudrjawzew,Boolesche Funktionen und Postsche Klassen, Akademie-Verlag, Berlin, 1970.
E. Marczewski,Homogeneous algebras and homogeneous operations, Fund. Math.,56 (1964), 81–103.
R. McKenzie,On minimal, locally finite varieties with permuting congruence relations. (Preprint, 1976).
J. Płonka, R-prime idempotent reducts of groups, Archiv der Math.,24 (1973), 129–132.
R. W. Quackenbush,Some classes of idempotent functions and their compositions, Colloq. Math.,29 (1974), 71–81.
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.
A. Salomaa,Some completeness criteria for sets of functions over a finite domain I., Annales Univ. Turku., Ser. A,53 (1962), 3–10.
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.
S. Świerczkowski,Algebras which are independently generated by every n elements, Fund. Math.,49 (1960), 93–104.
K. Urbanik,On algebraic operations in idempotent algebras, Colloq. Math.,13 (1965), 129–157.
H. Werner,Eine Characterisierung funktional vollständiger Algebren, Archiv der Math.,21, (1970), 381–385.
H. Werner,Algebraic representation and model theoretic properties of algebras with the ternary discriminator (TH Darmstadt, Preprint Nr. 237; 1975).
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Csákány, B. Homogeneous algebras are functionally complete. Algebra Universalis 11, 149–158 (1980). https://doi.org/10.1007/BF02483093
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DOI: https://doi.org/10.1007/BF02483093