Skip to main content
SpringerLink
Log in

Idempotents in the Endomorphism Ring of an Ideal in a p-Extension of a Complete, Discrete Valuation Field with Residue Field of Characteristic p as a Galois Module

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, the question concerning the existence of nontrivial idempotents in the endomorphism ring of an ideal in a p-extension of a complete discrete valuation field with residue field of characteristic p > 2 as a Galois module is considered. The nonexistence of nontrivial central idempotents for a non-Abelian totally widely ramified extension is proved. Bibliography: 4 titles.

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

Similar content being viewed by others

REFERENCES

  1. M. V. Bondarko, S. V. Vostokov, and I. B. Zhukov, “Additive Galois modules,” St. Petersburg Math. J., 9, No. 4, 675–693 (1998).

    Google Scholar 

  2. Y. Miyata, “On the module structure of a p-adic number field,” Nagoya Math. J., 77, 13–23 (1980).

    Google Scholar 

  3. J.-P. Serre, Local Fields, Graduate Texts in Mathematics, 67, Springer-Verlag, Berlin-Heidelberg-New York (1979).

    Google Scholar 

  4. Z. I. Borevich and D. K. Faddeev, “Homology theory in groups. II. On projective resolutions of finite groups,” Vestn. Leningr. Univ., 7, 72–81 (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St.Petersburg State University, Russia

    M. V. Bondarko

Authors
  1. M. V. Bondarko
    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

Bondarko, M.V. Idempotents in the Endomorphism Ring of an Ideal in a p-Extension of a Complete, Discrete Valuation Field with Residue Field of Characteristic p as a Galois Module. Journal of Mathematical Sciences 112, 4255–4258 (2002). https://doi.org/10.1023/A:1020374315167

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020374315167

Keywords

Search

Navigation