References
Belousov, W.,Foundations of the theory of quasigroups and loops. Moscow, 1967 (in Russian).
Blochina, C. N.,On predicate description of Post classes (Russian). Diskret. Analiz16 (1970), 16–29.
Csákány, B.,Varieties of affine modules. Acta Sci. Math. (Szeged)37 (1975), 3–10.
Csákány, B.,On affine spaces over prime fields. Acta Sci. Math. (Szeged)37(1975), 33–36.
Csákány, B.,All minimal clones on the three-element set. Acta Cybernetica6 (1983), 227–238.
Dudek, J.,Varieties of idempolent commutative groupoids. Fund. Math.,120(1984), 193–204.
Dudek, J.,On binary polynomials in idempotent commutative groupoids. Fund. Math.120 (1984), 187–191.
Dudek, J.,On the minimal extension of sequences. Algebra Universalis23 (1986), 308–312.
Grätzer, G.,Universal Algebra. Springer-Verlag, Berlin-Heidelberg-New York, 1979.
Grätzer, G. andPadmanabhan, R.,On idempotent commutative and non-associative groupoids. Proc. Amer. Math. Soc.28 (1971), 75–80.
Machida, H.,Essentially minimal closed sets in multiple-valued logic. Trans. IECE Japan,E64 (4) (1981) 243–245.
Machida, H. andRosenberg, I. G.,Classifying essentially minimal clones, in:Proceeding 14th Intern. Sympos. Multiple-valued Logics. Winnipeg, 1984 (IEFE), pp. 4–7.
Pálfy, P. P.,The arity of minimal clones. Acta Sci. Math.50 (1986), 331–333.
Park, R. E.,A four-element algebra whose identities are not finitely based. Algebra Universalis11 (1980), 225–260.
Płonka, J.,On the arity of idempotent reduct of groups. Colloq. Math.21 (1970), 35–37.
Płonka, J.,R-prime idempotent reducts of groups. Archiv der Math.24 (1973), 129–132.
Post, E.,The two-valued iterative systems of mathematical logics. Annals of Math. Studies No. 5. Princeton University Press, Princeton, NJ, 1941.
Rosenberg, I. G.,Minimal clones I, The five types, in: L. Szabó and A. Szendrei (eds.)Lectures in Universal Algebra. Colloq. Math. Soc. J. Bolyai 43. North-Holland, Amsterdam, 1986, pp. 405–427.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dudek, J. The unique minimal clone with three essentially binary operations. Algebra Universalis 27, 261–269 (1990). https://doi.org/10.1007/BF01182459
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01182459