Supertropical polynomials and resultants (Q615861)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supertropical polynomials and resultants |
scientific article |
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Supertropical polynomials and resultants (English)
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7 January 2011
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The authors prove that over a connected supertropical semifield, two nonconstant polynomials in one indeterminate are not relatively prime if and only if they have a common tangible root. They compute the resultant of two polynomials in terms of the roots of the polynomials, leading to another characterization of relatively prime polynomials and a supertropical version of Bézout's theorem.
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supertropical algebra
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supertropical polynomials
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relatively prime
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resultant
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Bézout's theorem
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