Skip to main content
Log in

Semilattices of groups with distributive congruence lattice

  • Research Article
  • Published:
Semigroup Forum 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. Birkhoff, G, Lattice Theory, Amer. Math. Soc. Colloquium Publications, Vol. 25, Providence, 1967, 3rd edition.

  2. Clifford, A.H, and G.B. Preston,The algebraic theory of semigroups, Vols. I and II, Math. Surveys No. 7 Amer. Math. Soc., Providence, R.J., 1961 and 1967.

    Google Scholar 

  3. Dean, R.A, and R.H. Oehmke,Idempotent semigroups with distributive right congruence lattices, Pacific J. Math. 14 (1964), 1187–1209.

    Google Scholar 

  4. Fuchs, L, Abelian groups, Pergamon, London, 1960.

    Google Scholar 

  5. Grätzer, G, Universal algebra, Van Nostrand, Princeton, 1968.

    Google Scholar 

  6. Hamilton, H.B,Semilattices whose structure lattice is distributive, Semigroup Forum 8 (1974), 245–253.

    Google Scholar 

  7. Meakin, J,One-sided congruences on inverse semigroups, Trans. Amer. Math. Soc. 206 (1975), 67–82.

    Google Scholar 

  8. Papert, D,Congruence relations in Semilattices, J. London Math. Soc. 39 (1964), 723–729.

    Google Scholar 

  9. Scott, W R, Group Theory, Prentice-Hall, Englewood Cliffs, 1964.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by J. M. Howie

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fountain, J.B., Lockley, P. Semilattices of groups with distributive congruence lattice. Semigroup Forum 14, 81–91 (1977). https://doi.org/10.1007/BF02194656

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02194656

Keywords

Navigation