When Does a Submodule of (ℝ[x
1 ⋯, x
k])
n
Contain a Positive Element? |
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| Authors: | Manfred Einsiedler Robert Mouat Selim Tuncel |
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| Institution: | (1) University of Washington, Seattle, WA, USA, US;(2) University of Vienna, Austria, AT |
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| 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. |
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| Keywords: | 2000 Mathematics Subject Classification: 13P10 26C05 |
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