Skip to main content
SpringerLink
Log in

When Does a Submodule of (ℝ[x 1 ⋯, x k])n Contain a Positive Element?

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract.

We characterize for modules consisting of tuples of Laurent polynomials with real coefficients whether such a module contains a positive element. The two conditions needed are numerical and directional positivity. The proof applies universal Gröbner bases.

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

Author information

Authors and Affiliations

  1. University of Washington, Seattle, WA, USA, , , , , , US

    Manfred Einsiedler, Robert Mouat & Selim Tuncel

  2. University of Vienna, Austria, , , , , , AT

    Manfred Einsiedler

Authors
  1. Manfred Einsiedler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert Mouat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Selim Tuncel
    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

Einsiedler, M., Mouat, R. & Tuncel, S. When Does a Submodule of (ℝ[x 1 ⋯, x k])n Contain a Positive Element?. Monatsh. Math. 140, 267–283 (2003). https://doi.org/10.1007/s00605-003-0051-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00605-003-0051-4

Search

Navigation