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arXiv · 0804.2420

Extension of bounded root functionals of a system of polynomial equations

Timur R. Seifullin
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Abstract

The notion of a root functional of a system of polynomials or ideal of polynomials is a generalization of the notion of a root, in particular, for a multiple root. A root functional is a linear functional that is defined on a polynomial ring and annuls the ideal of polynomials. A bounded root functional is a functional that annuls d-th component of the ideal in some filtration in this ideal. The paper consider bounded root functionals and their extension operation for a system of polynomial equation at which the number of equations is equal to the number of unknows. The extension operation has connection with the multivariate Bezoutian construction.

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Timur R. Seifullin. 2009-02-02. Extension of bounded root functionals of a system of polynomial equations. https://arxiv.org/abs/0804.2420

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