Skip to main content
Log in

Affine Spaces over GF(3)

  • Published:
Studia Logica 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

  • [C]B. Csákány, 'On affine spaces over prime fields', Acta Sci. Math. 37 (1975), 33-36.

    Google Scholar 

  • [D1]J. Dudek, 'Medial groupoids and Mersenne's numbers', Fund. Math. 114 (1981), 109-112.

    Google Scholar 

  • [D2]J. Dudek, 'An affine space over GF(3) as a 4-groupoid', Proc. Symposium on n-ary structures, Skopje, 1982, pp. 243-249.

  • [D3]J. Dudek, 'Varieties of idempotent commutative groupoids', Fund. Math. 120 (1984), 193-204.

    Google Scholar 

  • [D4]J. Dudek, 'Polynomial characterization of affine spaces over GF(3)', Colloq. Math. 50 (1986), 161-171.

    Google Scholar 

  • [D5]J. Dudek, 'On the minimal extension of sequences', Algebra Universalis 23 (1986), 308-312.

    Google Scholar 

  • [D6]J. Dudek, 'Polynomials in idempotent commutative groupoids', Dissertationes Math. 286 (1989), 1-55.

    Google Scholar 

  • [D7]J. Dudek, 'On Csákány's problem concerning affine spaces', Acta Sci. Math. 46 (1992), 3-13.

    Google Scholar 

  • [D8]J. Dudek, 'The minimal extension of the sequence (0, 0, 3)', Algebra Universalis 29 (1992), 419-436.

    Google Scholar 

  • [GK]G. Grätzer and A. Kisielewicz, 'A survey of some open problems on p n -sequences and free spectrum of algebras and varieties', in Universal Algebra and Quasigroup Theory, A. Romanowska and J. D. H. Smith (eds.), Helderman Verlag, Berlin, 1992, pp. 57-88.

    Google Scholar 

  • [GP1]G. Grätzer and R. Padmanabhan, 'On commutative, idempotent and nonassociative groupoids', Proc. Amer. Math. Soc. 28 (1971), 75-78.

    Google Scholar 

  • [GP2]G. Grätzer and J. Płonka, 'On the number of polynomials of an idempotent algebra I', Pacific J. Math. 32 (1970), 697-709.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dudek, J. Affine Spaces over GF(3). Studia Logica 72, 363–366 (2002). https://doi.org/10.1023/A:1021893307315

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021893307315

Navigation