Extension of bounded root functionals of a system of polynomial equations
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Publication:4799108
zbMATH Open1010.12002arXiv0804.2420MaRDI QIDQ4799108
Author name not available (Why is that?)
Publication date: 17 March 2003
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.
Full work available at URL: https://arxiv.org/abs/0804.2420
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