When does a polynomial ideal contain a positive polynomial?
نویسندگان
چکیده
منابع مشابه
When does a Polynomial Ideal Contain a Positive Polynomial?
We use Gröbner bases and a theorem of Handelman to show that an ideal I of R[x1, . . . , xk] contains a polynomial with positive coefficients if and only if no initial ideal inv(I), v ∈ R, has a positive zero. Let R = R[x1, . . . , xk], R = R[x1, . . . , xk] and, considering Laurent polynomials, let R̃ = R[x1 , . . . , xk ], R̃ = R[x ± 1 , . . . , x ± k ]. For a = (a1, . . . , ak) ∈ Z, write x = ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2001
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00148-1