Skip to main content
Log in

Congruence modularity is permutability composed with distributivity

  • Published:
Archiv der Mathematik 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. A. Day, A characterization of modularity for congruence lattices of algebras. Canad. Math. Bull.12, 167–173 (1969).

    Google Scholar 

  2. H. P. Gumm, Über die Lösungsmengen von Gleichungssystemen über allgemeinen Algebren. Math. Z.162, 51–62 (1978).

    Google Scholar 

  3. H. P. Gumm, An easy way to the commutator in modular varieties. Arch. Math.34, 220–228 (1980).

    Google Scholar 

  4. H. P. Gumm andCh. Herrmann, Algebras in modular varieties, Baer refinements, cancellation and isotopy. Preprint 1978. Houston J. Math.5, 503–523 (1979).

    Google Scholar 

  5. Ch. Herrmann, Affine algebras in congruence-modular varieties. Acta Sci. Math. (Szeged)41, 119–125 (1979).

    Google Scholar 

  6. J. Hagemann andCh. Herrmann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity. Arch. Math.32, 234–245 (1979).

    Google Scholar 

  7. B. Jónssom, Algebras whose congruence lattices are distributive. Math. Scand.21, 110–121 (1967).

    Google Scholar 

  8. A. I. Mal'cev, On the general theory of algebraic systems (Russian). Mat. Sb.35, 3–20 (1954).

    Google Scholar 

  9. W.Taylor, Some applications of the term condition. Preprint 1980.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported in part by NSERC operating grant A-8190.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gumm, H.P. Congruence modularity is permutability composed with distributivity. Arch. Math 36, 569–576 (1981). https://doi.org/10.1007/BF01223741

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01223741

Keywords

Navigation