Skip to main content
SpringerLink
Log in

Green's ℒ-relation for semigroups and compactifications

  • Research Papers
  • Published:
aequationes mathematicae 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. Bourbaki, N.,Elements of mathematics, general topology, Part 1. Addison-Wesley, Reading, Mass. 1966.

    Google Scholar 

  2. Chandler, R. E.,Hausdorff compactifications. Marcel Dekker, New York, 1976.

    Google Scholar 

  3. Clifford, A. H. andPreston, G. B.,The algebraic theory of semigroups, Vol. 1. InMathematical Surveys, No. 7, Amer. Math. Soc., Providence, R.I., 1961.

    Google Scholar 

  4. Gillman, L. andJerison, M.,Rings of continuous functions. Van Nostrand, New York, 1960.

    Google Scholar 

  5. Glicksberg, I.,Stone-Čeck compactifications of products. Trans. Amer. Math. Soc.90 (1959), 369–382.

    Google Scholar 

  6. Hofmann, K. H. andMostert, P. S.,Elements of compact semigroups. Charles E. Merrill Books, Columbus, 1966.

    Google Scholar 

  7. Kuratowski, K.,Topology. Academic Press, New York,Vol. 1, 1966.

    Google Scholar 

  8. Lubben, R.G.,Concerning the decomposition and amalgamation of points, upper semi-continuous collections, and topological extensions. Trans. Amer. Math. Soc.49 (1941), 410–466.

    Google Scholar 

  9. Magill, Jr., K. D.,A note on compactifications. Math. Z.94 (1966), 322–325.

    Google Scholar 

  10. Magill, Jr., K. D.,The lattice of compactifications of a locally compact space. Proc. London Math. Soc. (3)18 (1968), 213–244.

    Google Scholar 

  11. Magill, Jr., K. D., andGlasenapp, J. A.,0-dimensional compactifications and Boolean rings. J. Aust. Math. Soc. (4)8 (1968), 755–765.

    Google Scholar 

  12. Magill, Jr., K. D. andSubbiah, S.,Schützenberger groups of some irregular H-classes. Semigroup Forum10 (1975), 283–314.

    Google Scholar 

  13. Mazurkiewica, S. andSierpinski, W.,Contributions a la topologie des ensembles denombrables. Fund. Math.1 (1920), 17–27.

    Google Scholar 

  14. Semadeni, Z.,Banach spaces of continuous functions. Vol. 1. Monographie Mat.Tom. 55, PWN, Warszawa, 1971.

    Google Scholar 

  15. Woods, R. G.,Zero-dimensional compactifications of locally compact spaces. Can. J. Math. (26)4 (1974), 920–930.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York, 14214, Buffalo, N.Y., USA

    Kenneth D. Magill Jr.

Authors
  1. Kenneth D. Magill Jr.
    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

Magill, K.D. Green's ℒ-relation for semigroups and compactifications. Aeq. Math. 19, 123–133 (1979). https://doi.org/10.1007/BF02189860

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02189860

AMS (1970) subject classification

Search

Navigation