Skip to main content
SpringerLink
Log in

Remarks on ideals in join-semilattices

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

A set of results analogous to the corresponding results in lattices is derived for neutral ideals in join-semilattices, for congruence relations generated by neutral ideals in join-semilattices, and for permutable congruence relations generated by ideals in modular join-semilattices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Fujiwara, T., Permutability of semilattice congruences on lattices, Canadian J. Math. 19, 370–375 (1967).

    Google Scholar 

  2. Grätzer, G., and Scmidt, E.T., Ideals and congruence relations in lattices, Acta Math. Acad. Sci. Hungar. 9, 137–175 (1958).

    Google Scholar 

  3. Iqbalunnisa, Neutral ideals and congruences, Fund. Math. 48, 343–353 (1960).

    Google Scholar 

  4. Iqbalunnisa, Permutable congruences in a lattice, Illinois J. Math. 10, 235–239 (1966).

    Google Scholar 

  5. Nieminen, J., About congruence relations of semilattices, Acta Fac. Rerum Nat. Univ. Comenianae Math., to appear.

Download references

Author information

Authors and Affiliations

  1. Department of Technical Sciences, Finnish Academy, Lauttasaarentie 1, 00200, Helsinki 20, Finland

    Juhani Nieminen (Research assistant)

Authors
  1. Juhani Nieminen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nieminen, J. Remarks on ideals in join-semilattices. Manuscripta Math 15, 251–259 (1975). https://doi.org/10.1007/BF01168677

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168677

Keywords

Search

Navigation