Skip to main content
Log in

Subprincipal closed ideals in βN

  • 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. Bergelson, V.,Ergodic Ramsey Theory, in “Logic in Combinatorics, S. Simpson editor, Contemporary Mathematics, to appear.

  2. Berglund, J. and N. Hindman,Filters and the weak almost periodic compactification of a discrete semigroup, Trans. Amer. Math. Soc.284 (1984), 1–38.

    Article  MATH  MathSciNet  Google Scholar 

  3. Berglund, J., H. Junghenn, and P. Milnes,Compact right topological semigroups and generalizations of almost periodicity, Lecture Notes in Math.663, Springer-Verlag, Berlin (1978).

    Google Scholar 

  4. Deuber, W. and N. Hindman,Partitions and sum of (m, p, c)-systems, J. Comb. Theory (Series A), to appear.

  5. van Douwen, E.,The integers and topology, in “Handbook of set-theoretic topology”, K. Kunen and J. Vanghan eds., North Holland, Amsterdam, 1984, 111–168

    Google Scholar 

  6. Furstenberg H.,Recurrence in ergodic theory and combinatorial number theory, PrincetonUniversity Press, Princeton, New Jersey, 1981.

    Google Scholar 

  7. Hindman, N.,Minimal ideals and cancellation in βN, Semigroup Forum25 (1982), 291–310.

    Article  MATH  MathSciNet  Google Scholar 

  8. Hindman, N.,On density, translates, and pairwise sums of integers, J. Comb. Theory (Series A)33 (1982), 47–157.

    MathSciNet  Google Scholar 

  9. Hindman, N.,Ramsey's theorem for sums, products, and arithmetic progressions, J. Comb. Theory (Series A)38 (1985), 82–83.

    Article  MATH  MathSciNet  Google Scholar 

  10. Hindman, N.,Sums equal to products in βN, Semigroup Forum21 (1980), 221–255.

    Article  MATH  MathSciNet  Google Scholar 

  11. Hindman, N.,The ideal structure of the space of κ-uniform ultrafilters on a discrete semigroup, Rocky Mountain J. Math.,16 (1986), 685–701.

    Article  MATH  MathSciNet  Google Scholar 

  12. Hindman, N.,Ultrafilters and combinatorial number theory Lecture Notes in Math. 751, Springer-Verlag, Berlin (1979), 119–184.

    Google Scholar 

  13. Kunen, K.,Set, theory:an introduction to independence proofs, North Holland, Amsterdam, 1980.

    Google Scholar 

  14. Ruppert, W.,In a left topological semigroup with dense center the closure of any left ideal is an ideal, Semigroup Forum, to appear.

  15. Szemeredi, E.,On sets of integers containing no k elements in arithmetic progression, Acta. Arith.27 (1975), 199–245.

    MATH  MathSciNet  Google Scholar 

  16. Williams, S.,Box products, in “Handbook of set-theoretic topology”, K. Kunen and J. Vaughan eds., North Holland, Amsterdam, 1984, 169–200.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Karl H. Hofmann

This author gratefully acknowledges support received from the National Science foundation via Grants DMS-8320383 and DMS-8520873.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Davenport, D., Hindman, N. Subprincipal closed ideals in βN. Semigroup Forum 36, 223–245 (1987). https://doi.org/10.1007/BF02575018

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02575018

Keywords

Navigation