Skip to main content
Log in

Equational classes of Steiner systems

  • 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. G. Birkhoff,Lattice theory, 3rd edition (1967), Amer. Math. Soc. Colloquium Publications, Vol. XXV.

  2. A. Day,A characterization of modularity for congruence lattices of algebras, Canad. Math. Bull.12 (1969).

  3. J. Doyen and A. Rosa,A bibliography and survey of Steiner Systems, Bollettino U.M.I. (4) 7 (1973), 392–419.

    MATH  MathSciNet  Google Scholar 

  4. T. Evans,Embeddability and the word problem, J. London Math. Soc.28 (1953).

  5. T. Evans,Properties of algebras almost equivalent to identities, J. London Math. Soc.37 (1962).

  6. T. Evans,Some connections between residual finiteness, finite embeddability and the word problem, J. London Math. Soc. (2),1 (1969).

  7. T. Evans,The word problem for abstract algebras, J. London Math. Soc.26 (1951).

  8. G. A. Frazer and A. Horn,Congruence relations in direct products, Proc. Amer. Math. Soc.26 (1970).

  9. B. Ganter,Finite partial quadruple systems can be finitely embedded, Discrete Mathematics. 10 (1974) 397–400.

    Article  MATH  MathSciNet  Google Scholar 

  10. G. Grätzer,A. theorem on doubly transitive permutation groups with application to universal algebras, Fund. Math.53 (1963).

  11. G. Grätzer,Universal algebra, Van Nostrand 1968.

  12. A. Mitschke and H. Werner,On groupoids representable by vector spaces over finite fields, Arch. Math.24, (1973).

  13. R. Padmanabhan,Characterization of a class of groupoids, Algebra Universalis1 (1972).

  14. R. Quackenbush,Near vector-spaces over GF (q). To appear in LAA.

  15. S. K. Stein,Homogneous quasigroups, Pac. J. Math.14 (1964).

  16. S. Swierćzkowski,Algebras which are independently generated by every n elements, Fund. Math.49 (1960).

  17. L. Szamkołowicz,Sulla generalizzazione del concetto delle algebre A n 3. Rendiconti della Accademia Nazionale dei Lincei, Serie VIII,XXXVIII, 1965.

  18. H. Werner,A unique factorization theorem for Steiner Triple Systems, THD-Math-Preprint Nr. 19 (1972).

  19. H. Werner,Produkte von Kongruenzklassengeometrien universeller Algebren, Math. Z.121 (1971).

  20. H. Werner,Congruences on products of algebras and functionally complete algebras, Algebra Universalis 4 (1974).

  21. E. Witt,Über Steinersche Systeme, Abh. Math. Sem. Univ. Hamburg12 (1938).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ganter, B., Werner, H. Equational classes of Steiner systems. Algebra Universalis 5, 125–140 (1975). https://doi.org/10.1007/BF02485242

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02485242

Keywords

Navigation