This is a preview of subscription content, log in via an institution to check access.
References
Baker, J., and R. Butcher,The Stone-Čech compactification of a topological semigroup, Math. Proc. Cambr. Phil. Soc. 80 (1976), 103–107.
Baker, J., and P. Milnes,The ideal structure of the Stone-Čech compactification of a group, Math. Proc. Cambr. Phil. Soc. 82 (1977), 401–409.
Berglund, J., and K.H. Hofmann,Compact semitopological semigroups and weakly almost periodic functions, Lecture Notes in Math. 42, Springer-Verlag, Berlin, (1967).
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).
Brown, G., and W. Moran,Idempotents of compact monothetic semigroups, Proc. London Math. Soc. 22 (1971), 211–221.
Butcher, R.,The Stone-Čech compactification of a topological semigroup,and its algebra of measures, Dissertation, University of Sheffield, (1975).
Chou, C.,On a geometric property of the set of invariant means on a group, Proc. Amer. Math. Soc. 30 (1971), 296–302.
Comfort, W.,Ultrafilters—some old and some new results, Bull. Amer. Math. Soc. 83 (1977), 417–455.
van Douwen, E.,The Čech-Stone compactification of a discrete cancellative groupoid, Manuscript.
Dunkl, C., and D. Ramirez,Representations of commutative semigroups, Lecture Notes in Math. 435, Springer-Verlag, Berlin, (1975).
Gillman, L., and M. Jerison,Rings of continuous functions, van Nostrand, Princeton, (1960).
Hausdorff, F.,Über Zwei Sätze von G. Fichtenholz and L. Kantorovitch, Studia Math. 6 (1936), 18–19.
Hindman, N.,Partitions and sums and products of integers, Trans. Amer. Math. Soc. 247 (1979), 227–245.
—,Simultaneous idempotents in βN/Nand finite sums and products in N, Proc. Amer. Math. Soc., 77 (1979), 150–154.
—,Ultrafilters and combinatorial number theory, Lecture Notes in Math. 751, Springer-Verlag, Berlin, (1979), 119–184.
Macri, N.,The continuity of the Arens product on the Stone-Čech compactification of semigroups, Trans. Amer. Math. Soc. 191 (1974), 185–193.
Namukura, K.,On bicompact semigroups, Math J. Okayama Univ. 1 (1952), 99–108.
Ruppert, W.,Rechtstopologische Halbgruppen, J. Rein Angew. Math., 261 (1973), 123–133.
Author information
Authors and Affiliations
Additional information
Communicated by Karl H. Hofmann
The author gratefully acknowledges support from the National Science Foundation under Grant MCS 78-02330.
Rights and permissions
About this article
Cite this article
Hindman, N. Sums equal to products in βN. Semigroup Forum 21, 221–255 (1980). https://doi.org/10.1007/BF02572552
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02572552