Skip to main content
Log in

ℜ-distributive lattices

  • 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. R.Balbes and P.Dwinger, Distributive lattices. University of Missouri Press 1974.

  2. H.-J. Bandelt, The tensor product of continuous lattices. Math. Z.172, 89–96 (1980).

    Google Scholar 

  3. H.-J.Bandelt and M.Erné, Representations and embeddings of ℜ-distributive lattices. Houston J. Math. (to appear).

  4. G. Bruns, Distributivität und subdirekte Zerlegbarkeit vollständiger Verbände. Arch. Math.12, 61–66 (1961).

    Google Scholar 

  5. G. Bruns, Darstellungen und Erweiterungen geordneter Mengen I. J. Reine Angew. Math.209, 167–200 (1962).

    Google Scholar 

  6. G. Bruns, Darstellungen und Erweiterungen geordneter Mengen II. J. Reine Angew. Math.210, 1–23 (1962).

    Google Scholar 

  7. A. Day, Filter monads, continuous lattices and closure systems. Canad. J. Math.27, 50–59 (1975).

    Google Scholar 

  8. M.Erné, Verallgemeinerungen der Verbandstheorie, Teil II:m-Ideale in halbgeordneten Mengen und Hüllenräumen. Habilitationsschrift, Hannover 1979.

  9. G.Gierz, K. H.Hofmann, K.Keimel, J. D.Lawson, M.Mislove and D. S.Scott, A compendium of continuous lattices. Berlin-Heidelberg-New York 1980.

  10. G. Grätzer, On the family of certain subalgebras of a universal algebra. Indag. Math.27, 790–802 (1965).

    Google Scholar 

  11. K. H. Hofmann andA. Stralka, The algebraic theory of compact Lawson semilattices — Applications of Galois connections to compact semilattices. Dissertationes Math.137, 1–54 (1976).

    Google Scholar 

  12. S. Papert, Which distributive lattices are lattices of closed sets ? Proc. Cambridge Phil. Soc.55, 172–176 (1959).

    Google Scholar 

  13. G. N. Raney, Completely distributive lattices. Proc. Amer. Math. Soc.3, 677–680 (1952).

    Google Scholar 

  14. G. N. Raney, A subdirect-union representation for completely distributive complete lattices. Proc. Amer. Math. Soc.4, 518–522 (1953).

    Google Scholar 

  15. G. N. Raney, Tight Galois connections and complete distributivity. Trans. Amer. Math. Soc.97, 418–426 (1960).

    Google Scholar 

  16. D. S. Scott, Continuous lattices, In: Toposes, algebraic geometry and logic. LNM274, 97–136, Berlin-Heidelberg-New York 1972.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bandelt, H.J. ℜ-distributive lattices. Arch. Math 39, 436–442 (1982). https://doi.org/10.1007/BF01899545

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01899545

Navigation