Skip to main content
SpringerLink
Log in

Einbettung lokal-beschränkter topologischer Ringe in Quotientenringe

  • Forschungsbeiträge
  • Published:
Results in Mathematics 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

Literatur

  1. V. A. Andrunakievič und V. I. Arnautov, Invertibility in topological rings. Soviet Math. Dokl. 7, 1254–1257 (1966).

    Google Scholar 

  2. R. Arens, Inverse-producing extensions of normed algebras. Trans. Amer. Math. Soc. 88, 36–548 (1958).

    Article  MathSciNet  Google Scholar 

  3. V. I. Arnautov, Fortsetzung der Topologie eines kommutativen Ringes auf gewisse Quotientenringe (russ.). Mat. Issled. Kishinev 48, 3–13 (1978).

    MathSciNet  MATH  Google Scholar 

  4. N. Bourbaki, Topologie générale, Chap. 3, 3. Aufl. Paris: Herman (1960).

    MATH  Google Scholar 

  5. B. Gelbaum, G. K. Kalisch und J. M. H. Olmsted, On the embedding of topological semigroups and integral domains. Proc. Amer. Math. Soc. 2, 807–821 (1951).

    Article  MathSciNet  MATH  Google Scholar 

  6. I. Kaplansky, Topological rings. Amer. J. Math. 69, 153–183 (1947).

    Article  MathSciNet  MATH  Google Scholar 

  7. I. Kaplansky, Locally compact rings. Amer. J. Math. 70, 447–459 (1948).

    Article  MathSciNet  MATH  Google Scholar 

  8. J. L. Kelley, General Topology. Princeton: Van Nostrand (1955).

    MATH  Google Scholar 

  9. H.-J., Kowalsky, H. Dürbaum, Arithmetische Kennzeichung von Körpertopologien. J. Reine Angew. Math. 191, 135–152 (1953).

    MathSciNet  MATH  Google Scholar 

  10. Z. S. Lipkina, Locally bicompact rings without zero divisors. Math. USSR. Izv. 1, 1187–1208 (1967).

    Article  Google Scholar 

  11. R.-R.isch, Über Quotientenstrukturen topologischer Halbgruppen und Ringe, Dissertation, Hannover (1982).

  12. N. J. Rothman, A note on compact rings. Math. Z. 91, 179–184 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  13. G. Schiffels, M. Stenzel, Einbettung von topologischen Ringen in Quotientenringe nach topologisch regulären Nennersystemen, Preprint, Bielefeld (1982).

  14. M. Stenzel, Inversenbildung und Komplettierung bei topologischen Ringen und Körpern. Dissertation, Bielefeld (1978).

  15. S. Warner, Compact noetherian rings. Math. Ann. 141, 161–170 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  16. S. Warner, Locally compact rings having a topological nilpotent unit. Trans. Amer. Math. Soc. 139, 145–154 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  17. S. Warner, Openly embedding local noetherian domains. J. Reine Angew. Math. 253, 146–151 (1972).

    MathSciNet  MATH  Google Scholar 

  18. O. Zariski und P. Samuel, Commutative Algebra, Vol. 1. Princeton: Van Nostrand (1958).

    Google Scholar 

  19. O. Zariski, und P. Samuel, Commutative Algebra, Vol. 2. Princeton: Van Nostrand (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fakultät für Mathematik der Universität Bielefeld, Postfach 8640, D-4800, Bielefeld 1

    Gerhard Schiffels

  2. Grindelhof 8, 2000, Hamburg 13

    Michael Stenzel

Authors
  1. Gerhard Schiffels
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michael Stenzel
    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

Schiffels, G., Stenzel, M. Einbettung lokal-beschränkter topologischer Ringe in Quotientenringe. Results. Math. 7, 234–248 (1984). https://doi.org/10.1007/BF03322506

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322506

Search

Navigation