Skip to main content
SpringerLink
Log in

The generalized doubling construction and formal concept analysis

  • 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

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

References

  1. Crawley, P. andDilworth, R. P.,Algebraic theory of lattices, Prentice-Hall, Englewood Cliffs, N. J., 1973.

    Google Scholar 

  2. Day, A.,A simple solution of the word problem for lattices. Canad. Math. Bull.,13 (1970), 253–254.

    Google Scholar 

  3. Day, A.,Splitting lattices generate all lattices. Algebra Universalis,7 (1977), 163–170.

    Google Scholar 

  4. Day, A.,Characterizations of finite lattices that are bounded-homomorphic images or sublattices of free lattices. Canad. J. Math.,31 (1979), 69–78.

    Google Scholar 

  5. Day, A.,Congruence normality: the characterization of the doubling classes of convex sets. Algebra Universalis,31 (1994), 397–406.

    Google Scholar 

  6. Day, A., Nation, J. B. andTschantz, S.,Doubling convex sets in lattices and a generalized semidistributivity condition. Order,6 (1989), 175–180.

    Google Scholar 

  7. Ganter, B. andWille, R.,Formale Begriffsanalyse. B.I.-Wissenschaftsverlag, to appear.

  8. Gaskill, H., Grätzer, G. andPlatt, C. R.,Sharply transferable lattices. Canad. J. Math.,27 (1975), 1246–1262.

    Google Scholar 

  9. Geyer, W.,Generalizing semidistributivity. Order,10 (1993), 77–92.

    Google Scholar 

  10. Geyer, W.,On Tamari lattices. Discrete Mathematics, to appear.

  11. Grätzer, G.,General lattice theory. Birkhäuser, Basel-Stuttgart, 1978.

    Google Scholar 

  12. Jónsson, B. andNation, J. B.,A report on sublattices of a free lattice. Coll. Math. Soc. János Bolyai,17 (1977), 233–257.

    Google Scholar 

  13. Lee, J. G.,Almost distributive lattice varieties. Algebra Universalis,21 (1985), 280–304.

    Google Scholar 

  14. McKenzie, R.,Equational bases and non-modular lattice varieties. Trans. Amer. Math. Soc.,174 (1972), 1–43.

    Google Scholar 

  15. Nation, J. B.,Finite sublattices of a free lattice. Trans. Amer. Math. Soc.,269 (1982), 311–337.

    Google Scholar 

  16. Pudlak, P. andTuma, J.,Yeast graphs and fermentation of algebraic lattices. Coll. Math. Soc. János Bolyai,14 (1974), 301–341.

    Google Scholar 

  17. Wille, R.,Restructuring lattice theory: an approach based on hierarchies of concepts. In I. Rival, editor,Ordered Sets, pages 445–470, Reidel, Dordrecht-Boston, 1982.

    Google Scholar 

  18. Wille, R.,Subdirect decomposition of concept lattices. Algebra Universalis,17 (1983), 275–287.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik, AG1 Technische Hochschule Darmstadt, D-64289, Darmstadt, Germany

    W. Geyer

Authors
  1. W. Geyer
    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

Geyer, W. The generalized doubling construction and formal concept analysis. Algebra Universalis 32, 341–367 (1994). https://doi.org/10.1007/BF01235175

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01235175

Keywords

Search

Navigation