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Affine spaces overGF(4)

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References

  1. Csákány, B.,On affine spaces over prime fields, Acta Sci. Math.37 (1975), 33–36.

    Google Scholar 

  2. Csákány, B.,All minimal clones on the three-element set, Acta Cybernet.6 (1983), 227–238.

    Google Scholar 

  3. Csákány, B. andMegyesi, L.,Varieties of idempotent medial quasigroups, Acta Sci. Math.37 (1975), 17–25.

    Google Scholar 

  4. Crvenkovič, S. andDudek, J.,Rectangular groupoids, Czechoslovak Math. J.35 (1985), 405–414.

    Google Scholar 

  5. Dudek, J.,Number of algebraic operations in idempotent groupoids, Colloq. Math.21 (1970), 169–177.

    Google Scholar 

  6. Dudek, J.,Varieties of idempotent commutative groupoids, Fund. Math.120 (1984), 193–204.

    Google Scholar 

  7. Dudek, J.,On the minimal extension of sequences, Algebra Universalis23 (1986), 308–312.

    Google Scholar 

  8. Dudek, J.,Medial idempotent groupoids I, Czechoslovak Math. J.41 (1991), 249–259.

    Google Scholar 

  9. Dudek, J.,Dedekind's numbers characterize distributive lattices, Algebra Universalis28 (1991), 36–39.

    Google Scholar 

  10. Dudek, J.,On Csákány's problem concerning affine spaces, Acta Sci. Math.56 (1992), 3–13.

    Google Scholar 

  11. Dudek, J. andKisielewicz, A.,Idempotent algebras with log-linear free spectra, Algebra Universalis28 (1991), 119–127.

    Google Scholar 

  12. Ganter, B. andWerner, H.,Equational classes of Steiner systems, Algebra Universalis59 (1975), 125–140.

    Google Scholar 

  13. Grätzer, G.,Universal Algebra, Springer-Verlag, New York-Heidelberg-Berlin, 1979.

    Google Scholar 

  14. Grätzer, G. andKisielewicz, A.,A survey of some open problems on p n -sequences and free spectra of algebras and varieties, inUniversal Algebra and Quasigroup Theory, A. Romanowska and J. D. H. Smith (eds.), Heldermann Verlag, Berlin, 1991, 57–88.

    Google Scholar 

  15. Grätzer, G. andPadmanabhan, R.,On commutative idempotent and nonassociative groupoids, Proc. Amer. Math.28 (1971), 75–78.

    Google Scholar 

  16. Grätzer, G. andPłonka, J.,On the number of polynomials of an idempotent algebra I, Pacific J. Math.22 (1970), 697–709.

    Google Scholar 

  17. Pálfy, P. P.,The arity of minimal clones, Acta Sci. Math.50 (1986), 331–333.

    Google Scholar 

  18. Park, R. E.,A four-element algebra whose identities are not finitely based, Algebra Universalis11 (1980), 255–260.

    Google Scholar 

  19. Plonka, J.,On the arity idempotent reduct of groups, Colloq. Math.21 (1970), 35–37.

    Google Scholar 

  20. Plonka, J.,On algebras with n distinct n-ary operations, Algebra Universalis1 (1971), 73–79.

    Google Scholar 

  21. Plonka, J.,R-prime idempotent reduct of groups, Archiv, der Math.24 (1973), 129–132.

    Google Scholar 

  22. Rosenberg, I.,Minimal clones I: The five types, Lectures in Universal Algebra (Szeged, 1983), Colloq. Math. Soc. János Bolyai43 (1986), North-Holland, Amsterdam-New York, 405–427.

    Google Scholar 

  23. Szendrei, A.,Every idempotent plain algebra generates a minimal variety, Algebra Universalis25 (1988), 36–39.

    Google Scholar 

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Dudek, J., Tomasik, J. Affine spaces overGF(4). Algebra Universalis 36, 279–285 (1996). https://doi.org/10.1007/BF01236757

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