Skip to main content
SpringerLink
Log in

Algebraic elements in division rings

  • Published:
Archiv der Mathematik 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. A. A. Albert, On ordered algebras. Bull. Am. Math. Soc.46, 521–522 (1940).

    Google Scholar 

  2. P. M. Cohn, On the embedding of rings in skew fields. Proc. London Math. Soc.11, 511–530 (1961).

    Google Scholar 

  3. O.Endler, Valuation theory. Berlin-Heidelberg-New York 1972.

  4. J. Gräter, Central extensions of ordered skew fields. Math. Z.213, 531–555 (1993).

    Google Scholar 

  5. T. Y.Lam, A first course in noncommutative rings. Grad. Texts in Math.131. Berlin-Heidelberg-New York 1991.

  6. A. I. Lichtman, The residual nilpotence of the multiplicative group of a skew field generated by universal enveloping algebras. J. Algebra112, 250–263 (1988).

    Google Scholar 

  7. A. I. Lichtman, PI-subrings and algebraic elements in enveloping algebras and their fields of fractions. J. Algebra121, 139–154 (1989).

    Google Scholar 

  8. A. I.Lichtman, Valuation methods in division rings. J. Algebra, to appear.

  9. A. R. Wadsworth, Extending valuations to finite dimensional division algebras. Proc. Amer. Math. Soc.98, 20–22 (1986).

    Google Scholar 

  10. J. H. M. Wedderburn, On division algebras. Trans. Amer. Math. Soc.22, 129–135 (1921).

    Google Scholar 

Download references

Author information

Author notes

  1. Joachim Gräter

    Present address: Institut für Mathematik, Universität Potsdam, Postfach 60 15 53, D-14415, Potsdam

Authors and Affiliations

    Authors
    1. Joachim Gräter
      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

    Gräter, J. Algebraic elements in division rings. Arch. Math 66, 13–18 (1996). https://doi.org/10.1007/BF01323978

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01323978

    Keywords

    Search

    Navigation