Skip to main content
Log in

On the existence of congruence-uniform structures on universal algebras

  • 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. Bourbaki, N.,General Topology. Hermann Verlag 1966.

  2. Bulman-Fleming, S.,Congruence topologies on universal algebras. Math. Z.119 (1971), 287–289.

    Article  MathSciNet  Google Scholar 

  3. Fraser, G. A. andHorn, A.,Congruence relations in direct products. Proc. A. Math. Soc.26, (1970), 390–394.

    Article  MathSciNet  Google Scholar 

  4. Grätzer, G.,Universal Algebra. Springer-Verlag, New York-Heidelberg-Berlin, second edition 1979.

    MATH  Google Scholar 

  5. Greco, S. andSalmon, P.,Topics in m-adic Topologies. Springer Verlag 1971.

    Chapter  Google Scholar 

  6. Hämisch, W.,Ober die Topologie in der Algebra. Math. Z.60 (1954), 458.

    Article  MathSciNet  Google Scholar 

  7. Hermes, H.,Einführung in die Verbandstheorie. Springer Verlag 1967.

    Book  Google Scholar 

  8. Hochster, M.,Rings with nondiscrete ideal topologies. Proc. Am. Math. Soc.2l (1969), 357–362.

    Article  MathSciNet  Google Scholar 

  9. Ihringer, T.,Allgemeine Algebra. Teubner-Verlag, Stuttgart 1988.

    MATH  Google Scholar 

  10. Kertesz, A. andSzele, T.,On the existence of non-discrete topologies in infinite abelian groups. Publ. Math. Debrecen3 (1982), 187–189.

    MATH  Google Scholar 

  11. McKenzie, R., McNulty, G. andTaylor, W.,Algebras, Lattices, Varieties (Vol. I). Wadsworth & Brooks, Monterey, Canada 1987.

    MATH  Google Scholar 

  12. Rinow, W.,Topologie. VEB Deutscher Verlag der Wissenschaften, Berlin 1975.

    MATH  Google Scholar 

  13. Sharma, P.,Hausdorff topologies on groups. Math. Japon.26 (1981), 555–556.

    MathSciNet  MATH  Google Scholar 

  14. Specht, W.,Gruppentheorie. Springer Verlag 1956.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Woracek, H. On the existence of congruence-uniform structures on universal algebras. Algebra Universalis 36, 141–158 (1996). https://doi.org/10.1007/BF01192714

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01192714

Keywords

Navigation